# How do you solve the following system?: -2x +11y =5 , 5x -2y = -2

Jun 22, 2018

$x = - \frac{4}{17} , y = \frac{7}{17}$

#### Explanation:

Multiplying the first equation by $5$ and the second by $2$ and adding both we get

$y = \frac{21}{51} = \frac{7}{17}$

so

$x = - \frac{1}{2} \left(\frac{85 - 77}{17}\right) = - \frac{4}{17}$