# How do you solve the system y=6x and 2x+3y=-20 using substitution?

Apr 25, 2018

$2 x + 3 \left(6 x\right) = - 20$ means $x = - 1$ and $y = 6 x = - 6$.

#### Explanation:

We can just plug $y = 6 x$ into $2 x + 3 y = - 20$ and get

$2 x + 3 \left(6 x\right) = - 20$

$20 x = - 20$

$x = - 1$

$y = 6 x = - 6$

Check:

 -6 = 6 (-1) quad sqrt

2 (-1) + 3(-6) = -20 quad sqrt