# How do you solve the following system?:  -2x +7y =-6 , 12x +25y = -2

Jun 7, 2018

$x = \frac{68}{67} , y = - \frac{38}{67}$

#### Explanation:

Multiplying the first equation by $6$ and adding to the second we get
$67 y = - 38$ so
$y = - \frac{38}{67}$
from here we get

$- 2 x = - 6 + 7 \cdot \frac{38}{67}$

so
$x = \frac{68}{67}$