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

Mar 19, 2018

$x = 2 , y = 4$

#### Explanation:

It's a system of 2 equations with 2 unknown numbers. Let's first put all x and y on the left.
y-2x=0, 3x-2y=-2
Now you have to eliminate y in the second equation, using the first.
y-2x=0, 3x-2y+2*(y-2x)=-2+2*0
We have :
y-2x=0, -x=-2 <=> x=2
Finally replace x by its value.
$y - 2 \cdot 2 = 0 \iff y = 4$