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

The given system of equations is:

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

To find the x-value of the solution, we can solve the system of equations by eliminating one variable.

First, let's multiply the second equation by -1:

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

Now, let's add the two equations together:

-x + 2y = 6
+ -x - 6y = -18
---------------
-8y = -12

Dividing both sides of the equation by -8, we have:

y = 12/8
y = 3/2

Now, let's substitute this value of y back into one of the original equations, such as the first one:

-x + 2(3/2) = 6
-x + 3 = 6
-x = 6 - 3
-x = 3

Dividing both sides of the equation by -1, we have:

x = -3

Therefore, the x-value of the solution is -3.