Question

For the following system of equations, what is the x value of the solution? -x + 2y =6 6y = x + 18

Answer 1

- x + 2 y = 6

Subtract 2 y to both sides

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

- x = 6 - 2 y


6 y = x + 18

Subtract x to both sides

6 y - x = x + 18 - x

6 y - x = 18

Subtract 6 y to both sides

6 y - x - 6 y = 18 - 6 y

- x = 18 - 6y


- x = - x

6 - 2 y = 18 - 6 y

Add 2 y to both sides

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

6 = 18 - 4 y

Subtract 18 to both sides

6 - 18 = 18 - 4 y - 18

- 12 = - 4 y

Divide both sides by - 4

- 12 / - 4 = - 4 y / - 4

3 = y

y = 3


- x + 2 y = 6

- x + 2 ∙ 3 = 6

- x + 6 = 6

Subtract 6 to both sides

- x + 6 - 6 = 6 - 6

- x = 0

Multiply both sides by - 1

x = 0