# How do solve the following linear system?:  x-7y=4 , -2x+5y=-3 ?

Jun 5, 2018

$x = \frac{1}{9} , y = - \frac{5}{9}$

#### Explanation:

Multiplying the first equation by $2$ and adding to the second:
$- 9 y = 5$
so $y = - \frac{5}{9}$
Plugging this in the first equation
$x - 7 \left(- \frac{5}{9}\right) = 4$
$x = 4 - \frac{35}{9} = \frac{36 - 35}{9}$
so $x = \frac{1}{9}$