# How do you solve the following system?:  6x+6y=-1 , 2x -5y=7

Jun 5, 2018

$x = \frac{37}{22} , y = - \frac{22}{21}$

#### Explanation:

Multiplying the second equation by $- 3$ and adding to the first
we get
$y = - \frac{22}{21}$
plugging this in the second equation we get
$x = \frac{1}{2} \left(7 - \frac{110}{21}\right)$
$x = \frac{37}{42}$