# How do you solve the following system: -5x + 3y= 6, 8x-3y=3 ?

Apr 22, 2018

$x = 3$
$y = 7$

#### Explanation:

Add the two equations together to cancel the $3 y$ and $- 3 y$:

$\text{ } - 5 x + 3 y = 6$

$\text{+ } \left(8 x - 3 y = 3\right)$

$\to - 5 x + 8 x + 3 y + \left(- 3 y\right) = 6 + 3$

$3 x = 9$

$x = 3$

Substitute $x$ into one of the equations:

$8 x - 3 y = 3$

$8 \left(3\right) - 3 y = 3$

$24 - 3 y = 3$

$- 3 y = - 21$

$y = 7$