Solve the system of equations using substitution.
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A)x = 8, y = 5 or (8, 5)
B)x = 8, y = -5 or (8, -5)
C)x = -8, y = 5 or (-8, 5)
D)x = -8, y = -5 or (-8, -5)

Question

Solve the system of equations using substitution.
-
A)x = 8, y = 5 or (8, 5) 
B)x = 8, y = -5 or (8, -5) 
C)x = -8, y = 5 or (-8, 5) 
D)x = -8, y = -5 or (-8, -5)

Quizplus · Accepted Answer

Substituting the first equation into the second, we get:
3x - 7 = 4y
Solve for x in terms of y:
3x = 4y + 7
x = (4y + 7)/3
Substitute this expression for x into the first equation:
2(4y + 7)/3 + y = 18
8y + 14 + 3y = 54
11y = 40
y = 40/11
Substitute y = 40/11 back into the expression for x:
x = (4(40/11) + 7)/3 = 8
Therefore, the solution to the system is (8, 5), which corresponds to choice A.

Solve the System of Equations Using Substitution