# How do you solve the system x+6y=-1, 5x+7y=-5 using the substitution method?

Nov 21, 2016

$x = - 1$
$y = 0$

#### Explanation:

$x + 6 y = - 1$
$x = - 6 y - 1$

$5 x + 7 y = - 5$

$5 \left(- 6 y - 1\right) + 7 y = - 5$
$- 30 y - 5 + 7 y = - 5$
$- 23 y = 0$
$y = 0$

$x = - 6 y - 1$
$x = - 6 \left(0\right) - 1$
$x = - 1$