[tex] \left \{ {{-x + 2y = 6} \atop {6y=x + 18}} \right. [/tex]
First, we should rearrange the first equation to set it equal to y:
-x + 2y = 6
2y = 6 + x
y = 3 + 0.5x
Now, we can plug this into the second equation for y and solve for x:
6y = x + 18
6(3 + 0.5x) = x + 18
18 + 3x = x + 18
3x = x
2x = 0
x = 0
The x-value of the solution is 0.