# How do you solve x= y - 2 and 3x - y = 6 using substitution?

Mar 12, 2018

color(magenta)(x=4 and y=6

#### Explanation:

$x = \left(y - 2\right)$

Given that,

$3 x - y = 6$

Replacing $x = \left(y - 2\right)$

$3 \left(y - 2\right) - y = 6$

Opening the brackets:

$3 y - 6 - y = 6$

$3 y - y = 6 + 6$

$2 y = 12$

$y = \frac{12}{2}$

color(red)(y=6

$x = \left(y - 2\right)$

$x = 6 - 2$

color(red)(x=4

$\therefore$ color(magenta)(x=4 and y=6

~Hope this helps! :)