# How do you solve the following system?: -7x -2y =1, -8x +2y = -3

May 29, 2018

$x = \frac{2}{15} , y = - \frac{29}{30}$

#### Explanation:

If you add the two equations together this will remove the $y$ variable.

$- 7 x - 2 y = 1$
$- 8 x + 2 y = - 3$

$- 15 x = - 2$

$x = \frac{2}{15}$

Substitute this value for x into equation one

$- 7 \times \frac{2}{15} - 2 y = 1$

$\frac{- 14}{15} - 2 y = 1$

Add $\frac{2}{15}$ to both sides

$- 2 y = 1 \frac{14}{15}$

$y = - \frac{29}{30}$