# How do you solve the system using the elimination method for 4x+6y=24 and 4x-y=10?

Jul 10, 2015

I found:
$x = 3$
$y = 2$

#### Explanation:

Multiply the first equation by $- 1$:
{-4x-6y=-24
{4x-y=10 add them:
$0 - 7 y = - 14$
$y = - \frac{14}{-} 7 = 2$
Substitute back into the first equation:
$4 x + 12 = 24$
$4 x = 12$
$x = \frac{12}{4} = 3$