# How do you solve the system -6x+6y=6 and -6x+3y=-12?

Jun 10, 2015

The solution for the system of equations is
 color(red)(x = 5 , y=6

#### Explanation:

$- \textcolor{red}{6 x} + 6 y = 6$............equation $\left(1\right)$
$- \textcolor{red}{6 x} + 3 y = - 12$.......equation $\left(2\right)$

Subtracting equation $2$ from $1$ to eliminate color(red)(6x

$\cancel{\textcolor{red}{- 6 x}} + 6 y = 6$
$\cancel{\textcolor{red}{+ 6 x}} - 3 y = + 12$

$3 y = 18$
 color(red)(y=6

Substituting $y$ in equation $1$ to find $x$
$- 6 x = 6 - 6 y$
$x = \frac{6 - 6 y}{-} 6$
$x = \frac{6 - 36}{-} 6$
$x = - \frac{30}{-} 6$
color(red)(x=5