# How do you solve 4x-y=-6 and x-2y=-5?

Sep 30, 2015

The solutions are
color(blue)(x=-1,y=2

#### Explanation:

$\textcolor{b l u e}{4 x} - y = - 6$....equation $\left(1\right)$

$x - 2 y = - 5$, multiplying this equation by $4$
$\textcolor{b l u e}{4 x} - 8 y = - 20$....equation $\left(2\right)$

Solving by elimination :
Subtracting equation $2$ from $1$

$\textcolor{b l u e}{4 x} - y = - 6$
$- \cancel{\textcolor{b l u e}{4 x}} + 8 y = + 20$

$7 y = 14$

$y = \frac{14}{7}$

color(blue)(y=2

Finding $x$ by substituting $y$ in equation $1$

$4 x - y = - 6$

$4 x = - 6 + y$

$4 x = - 6 + 2$

$4 x = - 4$

color(blue)(x=-1