# How do you find the solution of the system of equations 2x-y= -3 and x+y=3?

##### 1 Answer
May 18, 2015

The solution to this system is : $\left\{\begin{matrix}x = 0 \\ y = 3\end{matrix}\right.$

It is easy to see, that the coeficients of y are opposite numbers (-1 and 1) so if you add both sides of the equasions you can get rid of "y".
After adding you get $3 x = 0$, so $x = 0$. Now if you substitute $0$ for x in any of the equasion you get $y = 3$