# How do you solve 4x-3y=8 and 2x+5y=-9?

Aug 3, 2015

I found:
$x = \frac{1}{2}$
$y = - 2$

#### Explanation:

I would multiply the second equation by $- 2$ to get:
{4x-3y=8
{color(red)(-4x-10y=18 add them together:
$0 - 13 y = 26$
so $y = \frac{26}{-} 13 = - 2$
substitute back into the first equation:

$4 x - 3 \left(- 2\right) = 8$
$4 x = 2$
$x = \frac{2}{4} = \frac{1}{2}$