# How do you solve x=4y and 3x-2y=20 using substitution?

Mar 11, 2018

$x = 8$

$y = 2$

#### Explanation:

$x = 4 y \text{ }$ (let this be equation 1)

$3 x - 2 y = 20 \text{ }$ (let this be equation 2)

So

$3 x - 2 y = 20$

$3 \left(4 y\right) - 2 y = 20 \text{ }$ (putting the value of $x$ from equation1 in equation2)

$12 y - 2 y = 20$

$10 y = 20$

$y = 2$

Therefore, from equation 1

$x = 4 \left(2\right) = 8$