# How do you solve using elimination of 3x-2y=-1 and 3x-4y=9?

Jun 8, 2018

Multiply the second equation by $- 1$ , and add the two equations together to get:
$x = - \frac{11}{3}$ and $y = - 5$

#### Explanation:

Multiply the second equation by $- 1$ and add the two equations together:

$+ 3 x - 2 y = - 1$
$- 3 x + 4 y = - 9$

$0 + 2 y = - 10$

This eliminates the $x$ variable, so we can find $y$ :
$y = - 5$

Now substitute $y$ in either equation to obtain $x$ :
$3 x - 2 \cdot \left(- 5\right) = - 1$
$3 x = - 1 - 10 = - 11$

$x = - \frac{11}{3}$