# How do you solve 3x - 2y = 0 and x + y = -5 using substitution?

Apr 11, 2016

$x = - 2$
$y = - 3$

#### Explanation:

Given -

$3 x - 2 y = 0$ --------- (1)
$x + y = - 5$ ------------(2)

Solve equation (2) for $x$

$y = - 5 - x$

Substitute $y = - 5 - x$ in equation (1)

$3 x - 2 \left(- 5 - x\right) = 0$
$3 x + 10 + 2 x = 0$
$5 x = - 10$
$x = - 2$

Substitute $x = - 2$ in equation (1)

$- 2 + y = - 5$
$y = - 5 + 2$
$y = - 3$