# How do you solve 3x-y= 4 and 2x-3y= -9?

Aug 8, 2017

See below.

#### Explanation:

Multiplying the first equation by $3$,

$9 x - 3 y = 12$

$2 x - 3 y = - 9$

Subtracting the two equations,

$7 x = 21$

So $x = 3$

Plugging this in,

$2 \left(3\right) - 3 y = - 9$

$6 + 9 = 3 y$

$y = 5$

So, our final solution is $\left(3 , 5\right)$.