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
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.