# How do you solve the following system?:  x - y = -6, x+y=4

Nov 15, 2015

The solution for the system of equations is
color(blue)(x=-1,y=5

#### Explanation:

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

Adding the two equations results in elimination of color(blue)(y

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

$2 x = - 2$

$x = \frac{- 2}{2}$

color(blue)(x=-1

Finding $y$ from equation $1$
$x + y = 4$

$y = 4 - x$

$y = 4 - \left(- 1\right)$

$y = 4 + 1$

color(blue)(y=5