Quiz 7: Systems and Matrices
Mathematics
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Q 8Q 8
Solve the system by substitution.
x + y = 3 x  y = 1
A) (2, 1)
B) No solution
C) (1, 2)
D) (2, 2)
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Q 9Q 9
Solve the system by substitution.
x  7y = 56 9x  7y = 112
A) No solution
B) (6, 6)
C) (7, 7)
D) (7, 6)
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Q 10Q 10
Solve the system by substitution.
x + 3y = 15 2x + 3y = 24
A) (10, 1)
B) (10, 9)
C) No solution
D) (9, 2)
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Q 11Q 11
Solve the system by substitution.
x + 6y = 0 x  6y = 96
A) (8, 48)
B) (6, 1)
C) (48, 8)
D) (48, 8)
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Q 12Q 12
Solve the system by substitution.
x + 6y = 9 2x + 5y = 1
A) (3, 2)
B) (3, 1)
C) No solution
D) (2, 2)
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Q 13Q 13
Solve the system by substitution.
x + 9y = 9 4x + 10y = 10
A) (1, 0)
B) (0, 1)
C) (1, 0)
D) No solution
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Q 14Q 14
Solve the system by substitution.
x  5y = 1 y = 1
A) (4, 1)
B) (6, 1)
C) (4, 1)
D) (1, 4)
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Q 15Q 15
Solve the system by substitution.
x + 5y = 11 2x  10y = 12
A) No solution
B) (1, 1)
C) (1, 2)
D) (2, 2)
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Q 25Q 25
Solve the system by elimination.
x  3y = 21 5x  2y = 14
A) (7, 0)
B) No solution
C) (0, 7)
D) (1, 6)
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Q 26Q 26
Solve the system by elimination.
7x  4y = 12 3x  2y = 6
A) (0, 3)
B) (0, 4)
C) No solution
D) (1, 4)
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Q 27Q 27
Solve the system by elimination.
7x  7y = 49 3x + 4y = 21
A) No solution
B) (7, 1)
C) (6, 1)
D) (7, 0)
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Q 28Q 28
Solve the system by elimination.
6x  44 = 8y 4x  6y = 30
A) (5, 0)
B) (6, 0)
C) No solution
D) (6, 1)
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Q 29Q 29
Solve the system by elimination.
4x + 9y = 71 8x = 73  18y
A) (2, 10)
B) (2, 7)
C) (8, 10)
D) No solution
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Q 30Q 30
Solve the system by elimination.
8x  3y = 22 3x + 8y = 63
A) (5, 6)
B) No solution
C) (2, 7)
D) (5, 6)
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Q 31Q 31
Solve the system by elimination.
6x  4y = 40 3x  2y = 4
A) No solution
B) (4, 3)
C) (3, 3)
D) (4, 4)
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Q 32Q 32
Solve the system by elimination.
2x + y = 9 x  2y = 2
A) (6, 2)
B) (5, 1)
C) (3, 1)
D) (4, 1)
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Q 33Q 33
Solve the system by elimination.
x + 2y = 3 2x  4y = 6
A) (2y  3, y)
B) (3, 0)
C) (2y + 3, y)
D) (0,  32 )
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Q 45Q 45
Use a graph to determine the number of solutions the system has.
2x  2y = 4 3x + 3y = 12
A) One solution
B) No solution
C) Infinitely many solutions
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Q 56Q 56
Solve the problem.
A theatre sells two types of tickets to their plays; children's tickets and adult tickets. For today's performance they have sold a total of 1134 tickets. Also, they have sold 80 more adult tickets than children's tickets. How
Many adult tickets have they sold?
A) 592
B) 607
C) 605
D) 612
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Q 57Q 57
Solve the problem.
A theatre sells two types of tickets to their plays; children's tickets and adult tickets. For today's performance they have sold a total of 1120 tickets. Also, they have sold 4 times as many adult tickets as children's tickets.
How many adult tickets have they sold?
A) 902
B) 889
C) 893
D) 896
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Q 58Q 58
Solve the problem.
A theatre sells two types of tickets to their plays; children's tickets and adult tickets. For today's performance they have sold a total of 1170 tickets. Also, they have sold 80 more adult tickets than children's tickets. How
Many children's tickets have they sold?
A) 549
B) 545
C) 547
D) 541
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Q 59Q 59
Solve the problem.
A theatre sells two types of tickets to their plays; children's tickets and adult tickets. For today's performance they have sold a total of 900 tickets. Also, they have sold 4 times as many children's tickets as adult tickets. How
Many children's tickets have they sold?
A) 720
B) 53
C) 716
D) 727
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Q 60Q 60
Solve the problem.
The total number of cars sold at a used car lot for the years 1996 and 1997 was 1184. From 1996 to 1997 the number of cars sold declined by 158. How many cars were sold in 1996?
A) 659
B) 671
C) 677
D) 649
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Q 61Q 61
Solve the problem.
The total number of cars sold at a used car lot for the years 1996 and 1997 was 1308. From 1996 to 1997 the number of cars sold declined by 158. How many cars were sold in 1997?
A) 575
B) 585
C) 581
D) 569
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Q 62Q 62
Solve the problem.
The total number of cars sold at a used car lot for the years 1996 and 1997 was 592. The number of cars sold in 1997 was 3 times the number of cars sold in 1996. How many cars were sold in 1997?
A) 444
B) 147
C) 156
D) 448
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Q 63Q 63
Solve the problem.
In one study the maximum heart rates of conditioned athletes were examined. A group of athletes was exercised to exhaustion. Let x represent an athlete's heart rate five seconds after stopping exercise and y represent an athlete's heart
Rate ten seconds after stopping exercise. It was found that the maximum heart rate H for these athletes satisfied the
Following two equations.
H = 0.491 x + 0.468 y + 11.2
H = 0.981 x + 1.872y + 26.4
If an athlete had a maximum heart rate of H = 160, determine the value of x graphically to the tenths place.
A) x = 157.3
B) x = 157.0
C) x = 156.2
D) x = 156.7
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Q 64Q 64
Solve the problem.
Find the equilibrium point for the given demand and supply curve. p = 4830  90x (demand)
P = 120x (supply)
A) (23, 2760)
B) (40, 1230)
C) (30, 2760)
D) (30, 2130)
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Q 65Q 65
Solve the problem.
Find the equilibrium point for the given demand and supply curve. p = 524  3x (demand)
P = 3x  412 (supply)
A) (412, 524)
B) (56, 156)
C) (521, 415)
D) (156, 56)
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Q 66Q 66
Solve.
Find the dimensions of a rectangular enclosure with perimeter 40 yd and area 91 yd2.
A) 15 yd by 6 yd
B) 13 yd by 7 yd
C) 14 yd by 6 yd
D) 16 yd by 7 yd
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Q 67Q 67
Solve.
Find the dimensions of a rectangular enclosure with perimeter 34 ft and area 60 ft2.
A) 10 ft by 6 ft
B) 12 ft by 5 ft
C) 10 ft by 24 ft
D) 12 ft by 22 ft
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Q 68Q 68
Solve.
Find the dimensions of a rectangular garden with perimeter 62 yd and area 220 yd2.
A) 10 yd by 11 yd
B) 20 yd by 11 yd
C) 10 yd by 22 yd
D) 20 yd by 22 yd
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Q 69Q 69
Solve.
A rectangular plot has area 126 yd2 with a perimeter of 46 yd. What is the length of the longest side?
A) 13 yd
B) 14 yd
C) 16 yd
D) 12 yd
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Q 70Q 70
Write the word or phrase that best completes each statement or answers the question.
Answer the question.
2x  7y = 17
5x + 3y = 19
If your friend was going to solve this system of equations by first eliminating y, what general suggestions
would you make so your friend could start on this in a systematic way?
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Q 71Q 71
Write the word or phrase that best completes each statement or answers the question.
Answer the question.
5x + 3y = 19
7x + 8y = 48
If your friend was going to solve this system of equations by first eliminating y, what general suggestions
would you make so your friend could start on this in a systematic way?
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Q 72Q 72
Write the word or phrase that best completes each statement or answers the question.
Answer the question.
When using the substitution or elimination method to solve a system of two equations, you end up with an
equation stating 0 = 0. What does this indicate to you about the system of equations?
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Q 73Q 73
Write the word or phrase that best completes each statement or answers the question.
Answer the question.
When using the substitution or elimination method to solve a system of two equations, you end up with an
equation stating 0 = 7. What does this indicate to you about the system of equations?
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Q 74Q 74
Write the word or phrase that best completes each statement or answers the question.
Answer the question.
Consider the equation 5(3  x) + x = 14x  5(3  x). Now consider the following system of equations solvable by the
substitution method:
y = 5(3  x) + x
y = 14x  5(3  x).
Explain the connections that exist between the single equation and the system of two equations.
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Q 75Q 75
Write the word or phrase that best completes each statement or answers the question.
Answer the question.
If the graphs of a system of two equations are a line and a parabola, what are the possible numbers of solutions
(with real coordinates) of this system?
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Q 76Q 76
Write the word or phrase that best completes each statement or answers the question.
Answer the question.
If the graphs of a system of two equations are a circle and a parabola, what are the possible numbers of
solutions (with real coordinates) of this system?
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Q 77Q 77
Write the word or phrase that best completes each statement or answers the question.
Answer the question.
If the graphs of a system of two equations are both circles, what are the possible numbers of solutions (with real
coordinates) of this system?
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Q 78Q 78
Write the word or phrase that best completes each statement or answers the question.
Answer the question.
If the graphs of a system of two equations are both parabolas, what are the possible numbers of solutions (with
real coordinates) of this system?
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Q 79Q 79
Write the word or phrase that best completes each statement or answers the question.
Answer the question.

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Q 80Q 80
Choose the one alternative that best completes the statement or answers the question.
Determine the order of the matrix.

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Q 81Q 81
Choose the one alternative that best completes the statement or answers the question.
Determine the order of the matrix.

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Q 82Q 82
Choose the one alternative that best completes the statement or answers the question.
Determine the order of the matrix.

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Q 83Q 83
Choose the one alternative that best completes the statement or answers the question.
Determine the order of the matrix.

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Q 84Q 84
Choose the one alternative that best completes the statement or answers the question.
Determine the order of the matrix.

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Q 85Q 85
Choose the one alternative that best completes the statement or answers the question.
Determine the order of the matrix.

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Q 86Q 86
Choose the one alternative that best completes the statement or answers the question.
Determine the order of the matrix.

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Q 87Q 87
Choose the one alternative that best completes the statement or answers the question.
Determine the order of the matrix.

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Q 162Q 162
Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.

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Q 163Q 163
Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.

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Q 164Q 164
Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.

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Q 165Q 165
Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.

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Q 166Q 166
Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.

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Q 167Q 167
Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.

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Q 168Q 168
Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.

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Q 174Q 174
Use Gaussian elimination to solve the system of equations.
x  y + z = 3 x + y + z = 9
X + y  z = 1
A) (4, 2, 3)
B) (2, 4, 3)
C) No solution
D) (2, 3, 4)
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Q 175Q 175
Use Gaussian elimination to solve the system of equations.
x + 4y + 5z = 9 4y + 2z = 10
Z = 5
A) No solution
B) (4, 5, 5)
C) (5, 5, 4)
D) (4, 5, 5)
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Q 176Q 176
Use Gaussian elimination to solve the system of equations.
3x + 3y + z = 14 4x  2y  z = 13
3x + y + 3z = 26
A) No solution
B) (5, 1, 4)
C) (4, 5, 1)
D) (4, 1, 5)
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Q 177Q 177
Use Gaussian elimination to solve the system of equations.
x  y + 2z = 3 3x + z = 0
X + 2y + z = 6
A) No solution
B) (0, 0, 3)
C) (0, 3, 3)
D) (0, 3, 0)
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Q 178Q 178
Use Gaussian elimination to solve the system of equations.
x  y + w  3z = 3 x + 2y = 3
Y + w = 2
x + w + z = 3
A) (26, 15, 13, 17)
B) (25, 14, 12, 16)
C) (23, 13, 11, 17)
D) (27, 14, 12, 17)
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Q 189Q 189
Write the word or phrase that best completes each statement or answers the question.
Determine which elementary row operation(s) applied to the first matrix will yield the second matrix.

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Q 190Q 190
Write the word or phrase that best completes each statement or answers the question.
Determine which elementary row operation(s) applied to the first matrix will yield the second matrix.

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Q 191Q 191
Write the word or phrase that best completes each statement or answers the question.
Determine which elementary row operation(s) applied to the first matrix will yield the second matrix.

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Q 192Q 192
Write the word or phrase that best completes each statement or answers the question.
Determine which elementary row operation(s) applied to the first matrix will yield the second matrix.

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Q 193Q 193
Write the word or phrase that best completes each statement or answers the question.
Determine which elementary row operation(s) applied to the first matrix will yield the second matrix.

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Q 194Q 194
Write the word or phrase that best completes each statement or answers the question.
Determine which elementary row operation(s) applied to the first matrix will yield the second matrix.

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Q 195Q 195
Write the word or phrase that best completes each statement or answers the question.
Determine which elementary row operation(s) applied to the first matrix will yield the second matrix.

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Q 196Q 196
Write the word or phrase that best completes each statement or answers the question.
Determine which elementary row operation(s) applied to the first matrix will yield the second matrix.

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Q 197Q 197
Write the word or phrase that best completes each statement or answers the question.
Determine which elementary row operation(s) applied to the first matrix will yield the second matrix.

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Q 198Q 198
Write the word or phrase that best completes each statement or answers the question.
Determine which elementary row operation(s) applied to the first matrix will yield the second matrix.

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Q 199Q 199
Find a row echelon form or a reduced row echelon form, as indicated, for the given matrix.
Find a row echelon form for the matrix.
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Q 200Q 200
Find a row echelon form or a reduced row echelon form, as indicated, for the given matrix.
Find a row echelon form for the matrix.
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Q 201Q 201
Find a row echelon form or a reduced row echelon form, as indicated, for the given matrix.
Find a row echelon form for the matrix.
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Q 202Q 202
Find a row echelon form or a reduced row echelon form, as indicated, for the given matrix.
Find a reduced row echelon form for the matrix.
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Q 203Q 203
Find a row echelon form or a reduced row echelon form, as indicated, for the given matrix.
Find a reduced row echelon form for the matrix.
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Q 204Q 204
Find a row echelon form or a reduced row echelon form, as indicated, for the given matrix.
Find a reduced row echelon form for the matrix.
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Q 205Q 205
Find a row echelon form or a reduced row echelon form, as indicated, for the given matrix.
Find a reduced row echelon form for the matrix.
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Q 206Q 206
Choose the one alternative that best completes the statement or answers the question.
Write the augmented matrix for the system.

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Q 207Q 207
Choose the one alternative that best completes the statement or answers the question.
Write the augmented matrix for the system.

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Q 208Q 208
Choose the one alternative that best completes the statement or answers the question.
Write the augmented matrix for the system.

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Q 209Q 209
Choose the one alternative that best completes the statement or answers the question.
Write the augmented matrix for the system.

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Q 210Q 210
Choose the one alternative that best completes the statement or answers the question.
Write the augmented matrix for the system.

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Q 211Q 211
Choose the one alternative that best completes the statement or answers the question.
Write the augmented matrix for the system.

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Q 212Q 212
Choose the one alternative that best completes the statement or answers the question.
Write the augmented matrix for the system.

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Q 213Q 213
Choose the one alternative that best completes the statement or answers the question.
Write the augmented matrix for the system.

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Q 219Q 219
Solve the system of equations by finding the reduced row echelon form for the augmented matrix.

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Q 220Q 220
Solve the system of equations by finding the reduced row echelon form for the augmented matrix.

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Q 221Q 221
Solve the system of equations by finding the reduced row echelon form for the augmented matrix.

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Q 222Q 222
Solve the system of equations by finding the reduced row echelon form for the augmented matrix.

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Q 223Q 223
Solve the system of equations by finding the reduced row echelon form for the augmented matrix.

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Q 224Q 224
Solve the system of equations by finding the reduced row echelon form for the augmented matrix.

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Q 225Q 225
Solve the system of equations by finding the reduced row echelon form for the augmented matrix.

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Q 226Q 226
Solve the system of equations by finding the reduced row echelon form for the augmented matrix.

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Q 227Q 227
Solve the system of equations by finding the reduced row echelon form for the augmented matrix.

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Q 228Q 228
Solve the system of equations by finding the reduced row echelon form for the augmented matrix.

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Q 236Q 236
Solve the system of equations by using an inverse matrix.
x  2y + 3z = 11 4x + y  z = 4
2x  y + 3z = 10
A) (2, 3, 3)
B) ɸ
C) (2, 3, 1)
D) (2, 3, 5)
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Q 237Q 237
Solve the system of equations by using an inverse matrix.
2x + 8y + 6z = 20 4x + 2y  2z = 2
3x  y + z = 11
A) (2, 1, 6)
B) (1, 2, 1)
C) (2, 1, 4)
D) ɸ
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Q 238Q 238
Solve the system of equations by using an inverse matrix.
4x + y  2z  w = 6 x + 4y + z  2w = 10
4x  2y + 4z + w = 22
2x  y  z  2w = 7
A) (1, 2, 3, 2)
B) ɸ
C) (3, 4, 1, 4)
D) (1, 2, 3, 2)
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Q 239Q 239
Solve the system of equations.
x + 4y = 16 x  z = 1
Y + z = 10
A) (0, 4, 1)
B) (3, 6, 4)
C) (4, 5, 5)
D) No solution
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Q 240Q 240
Solve the system of equations.
x + 2.5y = 8.5 4.5x + z = 0.5
Y  2.25z = 12
A) No solution
B) (1, 3, 4)
C) (2, 3, 8.5)
D) (1, 3, 3)
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Q 242Q 242
Solve the system of equations.
3x + 5y  2w = 13 2x + 7z  w = 1
4y + 3z + 3w = 1
x + 2y + 4z = 5
A) 1,  2013 , 0, 25
B) 34 , 2, 0, 34
C) (1, 2, 0, 3)
D) 43 ,  1320 , 0, 52
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Q 243Q 243
Solve the system of equations.
x + y + z  w = 6 2x  y + 3z + 4w = 4
4x + 2y  z  w = 13
x  2y + 4z + 3w = 12
A) No solution
B)  14 , 13 , 15 ,  12
C) (4, 3, 5, 2)
D) (4, 3, 5, 2)
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Q 244Q 244
Solve the system of equations.
x + y + 3z = 1 3x  y + z = 21
A) (3z + 1, z + 21, z)
B) (2z  10, 5z  11, z)
C) No solution
D) (2z  11, 5z  12, z)
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Q 245Q 245
Solve the system of equations.
x + 2y + z + 6w = 2 x + y + 2z + w = 2
X + y + z + 2w = 1
A) (w  7, 4w + 3, w + 3, w)
B) (w  7, 4w + 3, w + 3, w)
C) No solution
D) (7w + 7, 4w + 3, w + 3, w)
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Q 246Q 246
Solve the system of equations.
x + 2y + z = 3 x + y + 3z + w = 5
A) (5z  2w  10, 2z + w + 2, z, w)
B) (5z  2w  7, 2z + w + 2, z, w)
C) No solution
D) (w  7, w + 1, w + 2, w)
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Q 247Q 247
Solve the system of equations.
x + 2y + 2z + w = 3.5 x + y + z + w = 2.5
A) (w  1.5, z  1, z, w)
B) (w + 1, z  3.5, z, w)
C) (w  1.5, w  1, w, w)
D) (w  1.5, z  1, z, w)
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Q 248Q 248
Solve the system of equations.
x  y + z + 2w = 4 x + 2z  w = 1
X + y  z = 6
X + 2y + 3z  w = 1
A) (3, 3, 2, 1)
B) (2, 3, 1, 1)
C) No solution
D) (2, 2, 2, 1)
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Q 259Q 259
Use division to write the rational function in the form q(x) + r(x)/d(x), where the degree of r(x) is less than the degree of
d(x). Then find the partial fraction decomposition of r(x)/d(x).

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Q 260Q 260
Use division to write the rational function in the form q(x) + r(x)/d(x), where the degree of r(x) is less than the degree of
d(x). Then find the partial fraction decomposition of r(x)/d(x).

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Q 261Q 261
Use division to write the rational function in the form q(x) + r(x)/d(x), where the degree of r(x) is less than the degree of
d(x). Then find the partial fraction decomposition of r(x)/d(x).

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Q 262Q 262
Use division to write the rational function in the form q(x) + r(x)/d(x), where the degree of r(x) is less than the degree of
d(x). Then find the partial fraction decomposition of r(x)/d(x).

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Q 263Q 263
Use division to write the rational function in the form q(x) + r(x)/d(x), where the degree of r(x) is less than the degree of
d(x). Then find the partial fraction decomposition of r(x)/d(x).

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Q 264Q 264
Use division to write the rational function in the form q(x) + r(x)/d(x), where the degree of r(x) is less than the degree of
d(x). Then find the partial fraction decomposition of r(x)/d(x).

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Multiple Choice
Q 265Q 265
Use division to write the rational function in the form q(x) + r(x)/d(x), where the degree of r(x) is less than the degree of
d(x). Then find the partial fraction decomposition of r(x)/d(x).

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Q 273Q 273
Solve the problem.
The sum of a student's three scores is 230. If the first is 25 points more than the second, and the sum of the first two is 5 more than twice the third, what was the first score?
A) 90
B) 75
C) 50
D) 65
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Q 274Q 274
Solve the problem.
A grain dealer sold to one customer 3 bushels of wheat, 3 of corn, and 3 of rye, for $11.40; to another, 3 of wheat, 3 of corn, and 3 of rye, for $11.40; and to a third, 3 of wheat, 3 of corn, and 3 of rye, for $11.40. What was the
Price per bushel for corn?
A) $1.10
B) $1.30
C) $1.60
D) $1.40
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Q 275Q 275
Solve the problem.
Michael's bank contains only nickels, dimes, and quarters. There are 65 coins in all, valued at $5.35. The number of nickels is 7 short of being three times the sum of the number of dimes and quarters together. How many
Dimes are in the bank?
A) 8
B) 47
C) 15
D) 10
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Q 276Q 276
Solve the problem.
Barges from ports X and Y went to cities A and B. X sent 30 barges and Y sent 8. City A received 21 barges and B received 17. Shipping costs $220 from X to A, $300 from X to B, $400 from Y to A, and $180 from Y to B. $8760
Was spent. How many barges went where?
A) 15 from X to A
B) 17 from X to A
C) 19 from X to A
D) 21 from X to A 15 from X to B 17 from X to B 11 from X to B 9 from X to B
6 from Y to A 4 from Y to A 2 from Y to A 0 from Y to A
2 from Y to B 4 from Y to B 6 from Y to B 8 from Y to B
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Q 277Q 277
Solve the problem.
Factories A and B sent rice to stores 1 and 2. A sent 12 loads and B sent 23. Store 1 used 19 loads and store 2 used 16. It cost $200 to ship from A to 1, $350 from A to 2, $300 from B to 1, and $250 from B to 2. $8500 was spent.
How many loads went where?
A) 11 from A to 1
B) 0 from A to 1
C) 10 from A to 1
D) 12 from A to 1 1 from A to 2 12 from A to 2 2 from A to 2 0 from A to 2
8 from B to 1 16 from B to 1 9 from B to 1 7 from B to 1
4 from B to 2 7 from B to 2 14 from B to 2 16 from B to 2
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Q 278Q 278
Solve the problem.
A basketball field house seats 15,000. Courtside seats sell for $9, end zone for $7, and balcony for $4. The total for a sellout is $81,000. If half the courtside and balcony and all end zone seats are sold, ticket sales total
$47,500. How many of each type of seat are there?
A) 4000 courtside
B) 3000 courtside
C) 3200 courtside 3000 end zone 2000 end zone 1800 end zone
8000 balcony 10,000 balcony 10,000 balcony
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Q 279Q 279
Solve the problem.
A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. If 100 black, 110 white and 80 red wires were used, how
Many of each type cable were made?
A) 20 cable A
B) 20 cable A
C) 10 cable A
D) 20 cable A 93 cable B 20 cable B 20 cable B 20 cable B
10 cable C 10 cable C 20 cable C 83 cable C
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