# How do you solve x+y=3 and 2x-y= -3?

Aug 4, 2015

The solution for the system of equations is :
color(blue)(x=0,y=3

#### Explanation:

$x + \textcolor{b l u e}{y} = 3$..........equation $\left(1\right)$

 2x−color(blue)(y)=−3.....equation $\left(2\right)$

Solving by elimination, as adding the two equations would result in elimination of color(blue)(y

$x + \cancel{\textcolor{b l u e}{y}} = 3$
 2x−cancelcolor(blue)(y)=−3

$3 x = 0$
color(blue)(x=0

Substituting $x$ in equation $1$ to find $y$
$x + y = 3$

$y = 3 - x$
$y = 3 - 0$
color(blue)(y=3