# How do you solve by the substitution method to find the ordered pair -3y = x - 5 and x + 5y = 7?

Apr 18, 2017

You have to get $x \mathmr{and} y$ in one of your equations on the left side by itself.

$x = 2 \mathmr{and} y = 1$

#### Explanation:

-3y = x - 5 and x + 5y = 7

$x = 7 - 5 y$

$- 3 y = \left(7 - 5 y\right) - 5$

$- 3 y = 2 - 5 y$

$- 3 y + 5 y = 2$

$2 y = 2$

$y = 1$

$x + 5 y = 7$

$x + 5 = 7$

$x = 2$

$x = 2 \mathmr{and} y = 1$
$\left(2 , 1\right)$