# How do you solve the system x-2y=-1 and 3x+2y=13 by graphing?

Dec 13, 2015

$\left(3 , 2\right)$

#### Explanation:

The solution of a system of equations is the point where the functions intersect.

When you graph the two equations, you get:

The solution is $\left(3 , 2\right)$.

If you're having trouble graphing the equations, put them into $y = m x + b$ form.

$x - 2 y = - 1$

$\implies - 2 y = - x - 1$
$\implies y = \frac{1}{2} x + \frac{1}{2}$

$3 x + 2 y = 13$

$\implies 2 y = - 3 x + 13$
$\implies y = - \frac{3}{2} x + \frac{13}{2}$