# How do you solve the system using the elimination method for 5x+4y=12 and 7x-6y=40?

##### 1 Answer
Jul 5, 2015

I found:
$x = 4$
$y = - 2$

#### Explanation:

You can multiply the first equation by $6$ and the secod by $4$ to get:
{30x+24y=72
{28x-24y=160 add them:
$58 x = 232$
$x = 4$
Substitute this back into the first equation:
$20 + 4 y = 12$
$y = - 2$