# How do you solve the following system: x-5y=-9, -x+y=5?

##### 1 Answer
Jan 4, 2016

$x - 5 y = - 9$$\ldots \ldots \ldots \ldots . \left(i\right)$
$- x + y = 5$$\ldots \ldots \ldots \ldots \left(i i\right)$
Add $\left(i\right)$ and $\left(i i\right)$
$\implies - 4 y = - 4$
$\implies y = 1$
Put $y = 1$ in $\left(i\right)$
$\implies x - 5 \left(1\right) = - 9$
$\implies x = - 9 + 5 = - 4$
$\implies x = - 4$