# How do you solve 4x + y = -3 and 5x - y= -6?

Nov 10, 2015

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

#### Explanation:

$4 x + \textcolor{b l u e}{y} = - 3$........equation $1$
$5 x - \textcolor{b l u e}{y} = - 6$.........equation $2$

Solving by elimination :
Adding equations $1$ and $2$ eliminates color(blue)(y

$4 x + \textcolor{b l u e}{y} = - 3$
$5 x - \textcolor{b l u e}{y} = - 6$

$9 x = - 3 - 6$

$9 x = - 9$

$x = - \frac{9}{9}$

color(blue)(x=-1

Now, substitute the value of $x$ in equation $1$ to find $y$

$4 x + y = - 3$

$4 \cdot \left(- 1\right) + y = - 3$

$- 4 + y = - 3$

$y = - 3 + 4$

color(blue)(y=1