# How do you solve the system of equations 5x-y =5 and -x +3y=13 using substitution?

Nov 30, 2015

$x = 2 , y = 5$

#### Explanation:

$5 x - y = 5$
$\implies y = 5 x - 5$
$\implies - x + 3 \left(5 x - 5\right) = 13$
$\implies 14 x = 28$
$\implies x = 2$
$\implies y = 5$