Solve the problem.
-The following is known about three numbers: If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 3. The third number plus 4 times the first number is 4.
The first number plus 3 times the second number plus the third number is 19. Find the three numbers.
[Hint: let x represent the first number, y the second number, and z the third number. Use the given
Conditions to write and solve a system of equations.]
A) $x = 0 , y = 5 , z = 4$
B) $x = 1 , y = 6 , z = 4$
C) $x = - 1 , y = 5 , z = 8$
D) $x = 0 , y = 4 , z = 7$

Question

Solve the problem.
-The following is known about three numbers: If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 3. The third number plus 4 times the first number is 4.
The first number plus 3 times the second number plus the third number is 19. Find the three numbers.
[Hint: let x represent the first number, y the second number, and z the third number. Use the given
Conditions to write and solve a system of equations.] 
A) $x = 0 , y = 5 , z = 4$
B) $x = 1 , y = 6 , z = 4$
C) $x = - 1 , y = 5 , z = 8$
D) $x = 0 , y = 4 , z = 7$

Quizplus · Accepted Answer

By setting up the system of equations based on the problem:  1. $x + 2z - y = 3$  2. $z + 4x = 4$  3. $x + 3y + z = 19$  Solving these equations simultaneously gives $x = 0$, $y = 5$, $z = 4$.

Solve the Problem x=0,y=5,z=4x = 0 , y = 5 , z = 4x=0,y=5,z=4

Solve the Problem $x = 0 , y = 5 , z = 4$