Multiple Choice For the following system of equations, what is the x-value of the solution? –x + 2y = 6 6y = x + 18 (1 point) Responses –18 –18 0 0 –6 –6 3

Answer 1

To find the x-value of the solution, we need to eliminate x from the system of equations.

First, let's rearrange the equations in the standard form:

–x + 2y = 6 --> x = 2y - 6
6y = x + 18 --> x = 6y - 18

Now, we set the two expressions for x equal to each other:

2y - 6 = 6y - 18

Next, we solve for y:

2y - 6y = -18 + 6

-4y = -12

Dividing both sides by -4:

y = -3

Now, we substitute y = -3 back into one of the original equations to find x:

x = 2(-3) - 6
x = -6 - 6
x = -12

Therefore, the x-value of the solution is -12.