# How do solve the following linear system?:  x/2 - y = -1 , 19x-2y=-16 ?

Mar 12, 2016

$x = - \frac{7}{9} , y = \frac{11}{18}$

#### Explanation:

Multiply the first equation by -2
$- x + 2 y = 2$
$19 x - 2 y = - 16$

$18 x = - 14 \implies x = - \frac{7}{9}$
$\frac{x}{2} - y = - 1$
$y = \frac{x}{2} + 1$
$y = - \frac{7}{18} + 1 \implies y = \frac{11}{18}$