For the following system of equations, what is the x-value of the solution?

Question

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

Answer 1

In first equation add x to both sides

2 y = x + 6

Multiply both sides by 3

6 y = 3 x + 18

Subtraction

6 y = 3 x + 18
-
6 y = x +18
___________

6 y - 6 y = 3 x - x + 18 - 18

0 = 2 x

x = 0

OR

6 y = 6 y

3 x + 18 = x + 18

Subtract 18 to both sides

3 x = x

Subtract x to both sides

2 x = 0

x = 0