# How do you solve the system using the elimination method for 5m+2n=-8 and 4m+3n=2?

Jul 6, 2015

I found:
$m = - 4$
$n = 6$

#### Explanation:

You can multply the first equation by $- 3$ and the second by $2$ to get:
{-15m-6n=24
{8m+6n=4 add the two equatons together:
$- 7 m = 28$
so $m = - \frac{28}{7} = - 4$ substitute this value into the first equation:
$- 20 + 2 n = - 8$
$n = 6$