# How do you solve the system of equations 2y = 10-7x and 2x=20-2y?

Nov 8, 2017

Solve for $x$, then $y$ using elimination.

$x = - 2 , y = 12$

#### Explanation:

First, move $x$ and $y$ to the same side of the equation so they are on top of each other. Make sure to watch your signs. Add $7 x$ to the top and add $2 y$ to the bottom.

$7 x + 2 y = 10$
$2 x + 2 y = 20$

Multiply bottom equation by $- 1$ to eliminate $y$.

$7 x + 2 y = 10$
$- 2 x - 2 y = - 20$

Add the bottom equation to the top. You're left with only $x$.

$5 x = - 10$

Solve for $x$, then plug $x$ into either of the original equations to get $y$.

$x = - 2 , y = 12$