# How do you solve x=y+2 and  2x-3y= 12?

Jun 5, 2018

#### Answer:

$x = - 6 , y = - 8$

#### Explanation:

[1] $x = y + 2$
[2] $2 x - 3 y = 12$

Equation [1] gives the expression for $x$. This can be substituted into equation [2]:

$2 \left(y + 2\right) - 3 y = 12$

Now we can solve for $y$:

$2 y + 4 - 3 y = 12$

$4 - y = 12$

$- y = 8$

[3] $y = - 8$

Now we take our result in [3] and substitute back into either [1] or [2]. Let's use [1]:

$x = \left(- 8\right) + 2$

$x = - 6$

Hence, the solution is $x = - 6$ and $y = - 8$.