# How do you solve by substitution 2x-y=32 and y-5x=13?

Jul 1, 2015

color(blue)(x=-15, y=-62

#### Explanation:

$2 x - y = 32$.........equation $\left(1\right)$

$y - 5 x = 13$
color(blue)(y=13 + 5x ........equation $\left(2\right)$

Substituting equation $2$ in $1$ to find $x$:

$2 x - y = 32$

$2 x - \textcolor{b l u e}{\left(13 + 5 x\right)} = 32$

$- 3 x = 32 + 13$

$- 3 x = 45$

color(blue)(x=-15

Finding $y$ from equation $2$
$y = 13 + 5 x$

$y = 13 - 75$

color(blue)(y = -62
The solution for the equation is:
color(blue)(x=-15, y=-62