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

May 14, 2015

Given the equations
$\text{[1] } 3 x - y = 3$
$\text{[2] } 2 x + y = 2$

We can get rid of the $y$ factors by adding the two equations together
$\text{[3] = [1]+[2]}$

$5 x = 5$
$\rightarrow x = 1$

Substituting $x = 1$ back into $\text{[1]}$ (or $\text{[2]}$) gives

$y = 0$

So the solution is $\left(x , y\right) = \left(1 , 0\right)$