# How do you solve the system -6x+5y=1 and 6x+4y=-10?

Jun 10, 2015

The solution for the system of equations is
 color(red)( x =-1 , y=-1

#### Explanation:

$- \textcolor{red}{6 x} + 5 y = 1$ ........equation $\left(1\right)$
$\textcolor{red}{6 x} + 4 y = - 10$.......equation $\left(2\right)$

Adding equations $1$ and $2$ to eliminate $6 x$ :
$\cancel{6} x + 5 y = 1$
$\cancel{6} x + 4 y = - 10$

$9 y = - 9$
color(red)(y=-1

Substituting $y$ in equation $1$ to find $x$

$- 6 x = 1 - 5 y$
$x = \frac{1 - 5 y}{-} 6$

$x = \frac{1 - 5. \left(- 1\right)}{-} 6$

$x = \frac{1 + 5}{-} 6$
color(red)(x = -1