# How do solve the following linear system?:  -2x -8y = 4 , 3x-y=3 ?

Jan 10, 2016

$x = \frac{10}{13} , y = - \frac{9}{13}$

#### Explanation:

To solve by elimination you will need to make coefficients of x or y "match" so that when you add or subtract the equations one of the variables will be eliminated.

If we multiply the second equation by 8 we get:
$- 2 x - 8 y = 4$
$24 x - 8 y = 24$

Now if we subtract the two new equations, we will eliminate y and will be able to solve an equation in x.

$26 x = 20$
$x = \frac{10}{13}$

Substitute this back into one of the original equations to find y.

$3 \cdot \frac{10}{13} - y = 3$
$\frac{30}{13} - y = 3$
$- y = \frac{9}{13}$
$y = - \frac{9}{13}$