Question #32ff5

Mar 31, 2017

$x = - 6 + 4 y$
$y = \frac{3}{2} + \frac{1}{4} x$

Explanation:

Since there are two variables and since you did not specify which variable to solve for, here are the steps for solving for both $x$ and $y$

For $x$

We must subtract $8 y$ from both sides and divide by $- 2$ from both sides;

$- 2 x + \cancel{8 y - 8 y} = 12 - 8 y$

$\cancel{- \frac{2}{-} 2} x = \frac{12 - 8 y}{-} 2$

$x = - 6 + 4 y$

For y:

Similarly, we add $2 x$ to both sides and divide by $8$ from both sides:

$\cancel{- 2 x + 2 x} + 8 y = 12 + 2 x$

$\cancel{\frac{8}{8}} y = \frac{12 + 2 x}{8}$

$y = \frac{3}{2} + \frac{1}{4} x$