# How do you find the solution of the system of equations  x+2y=3 and 3x-y= -5?

May 2, 2015

Given the equations:
$\text{[1] } x + 2 y = 3$
$\text{[2] } 3 x - y = - 5$

$\text{[3] = [2] "xx":}$
$\text{ } 6 x - 2 y = - 10$

$\text{[4] = [1] + [3]:}$
$\text{ } 7 x = - 7$
#" " rarr x = -1

Substituting $x = - 1$ in $\text{[1]}$
$\left(- 1\right) + 2 y = 3$
$\text{ } \rightarrow y = 2$

So the solution for the given equations is
$\left(x , y\right) = \left(- 1 , 2\right)$