# How do you solve the system y=2x and x+3y=-14 using substitution?

Apr 21, 2018

$\left(- 2 , - 4\right)$

#### Explanation:

Substitute the $2 x$ in for $y$ in the second equation:

$x + 3 \left(2 x\right) = - 14$

$x + 6 x = - 14$

$7 x = - 14$

$x = - 2$

We know that $x$ is $- 2$ and that $y$ is $2 \cdot x$.

$y = 2 \cdot - 2$

$y = - 4$

$\left(- 2 , - 4\right)$