# How do you solve the following system?:  x - y = -6, -2x+3y=5

Nov 22, 2015

I found:
$x = - 13$
$y = - 7$

#### Explanation:

Isolate $x$ from the first equation and substitute it into the second to find $y$ as:

$x = y - 6$

into the second:

$- 2 \left(y - 6\right) + 3 y = 5$

$- 2 y + 12 + 3 y = 5$
$y = - 7$

use this value back into the first equation:
$x = - 7 - 6 = - 13$