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 solve the system of equations.

First, let's solve the second equation for x:
6y = x + 18
Subtract 18 from both sides:
6y - 18 = x

Now, we can substitute this expression for x into the first equation:
-x + 2y = 6
-(6y - 18) + 2y = 6
Distribute the negative sign:
-6y + 18 + 2y = 6
Combine like terms:
-4y + 18 = 6
Subtract 18 from both sides:
-4y = -12
Divide by -4:
y = 3

Now, substitute this value of y back into the first equation to find x:
-x + 2(3) = 6
-x + 6 = 6
Subtract 6 from both sides:
-x = 0
Multiply by -1 to solve for x:
x = 0

Therefore, the x-value of the solution is 0.