# How do you solve -3x+y=-4 and y=x-6?

Apr 12, 2016

Since one variable is already isolated, it will be easiest to solve by substitution.

#### Explanation:

$y = x - 6 \to - 3 x + \left(x - 6\right) = - 4$

$- 3 x + x - 6 = - 4$

$- 2 x = 2$

$x = - 1$

$y = - 1 - 6$

$y = - 7$

Thus, your solution set is $\left\{- 1 , - 7\right\}$. Don't forget to present your solution set in the form $\left\{x , y\right\}$.

Hopefully this helps!