# How do you solve x+2y=12 and x-2y=0?

Aug 3, 2015

The solution for the system of equations is
color(blue)(x=6,y=3

#### Explanation:

$x + \textcolor{b l u e}{2 y} = 12$ .....equation $\left(1\right)$
x−color(blue)(2y)=0....equation $\left(2\right)$

We can solve the equations through elimination
Adding the two equations results in elimination of color(blue)(2y

$x + \cancel{\textcolor{b l u e}{2 y}} = 12$
x−cancelcolor(blue)(2y)=0

$2 x = 12$
color(blue)(x=6

Substituting $x$ in equation $1$ to find $y$
$x + 2 y = 12$
$2 y = 12 - 6$
$2 y = 6$
color(blue)(y=3