# How do you solve x= y + 3 and 3x - 2y = 4 using substitution?

Apr 21, 2016

$y = - 5$

$x = - 2$

#### Explanation:

$x = y + 3$ ----1
$3 x - 2 y = 4$ ----2

subtitute 1 into equation 2

$3 \left(y + 3\right) - 2 y = 4$
$3 y + 9 - 2 y = 4$
$y + 9 = 4$
$y = - 5$

subtitute $y = - 5$ into equation 1

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