# How do you solve the system using the elimination method for 5x - 3y = 4 and 3x - 5y = -4?

Jul 9, 2015

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

#### Explanation:

You can multiply the first equation by $- 3$, the second by $5$ and add together:
{-15x+9y=-12
{15x-25y=-20 adding:
$- 16 y = - 32$
$y = \frac{- 32}{-} 16 = 2$
back into the first equation:
$5 x - 6 = 4$
$x = \frac{10}{5} = 2$