# How do you solve 7x - 2y = -8 and x = -2?

Jan 18, 2016

$y = - 3$

#### Explanation:

Since you were given the value of $x$ which is $- 2$, all you have to do is substitute this value to the given equation.

Solution:

$7 x - 2 y = - 8$
where $x = - 2$

substituting $x$ value in the equation would give us:

$7 \left(- 2\right) - 2 y = - 8$
$\left(- 14\right) - 2 y = - 8$

simplifying equation by transposing $- 14$ to the right side,

-2y = -8 color(blue)(+14
$- 2 y = 6$

Divide each side by $- 2$ to get the value of $y$,

$y = \frac{6}{-} 2$

$y = - 3$