# How do you solve the system 3x-2y= -6 and -3x-y= -12 by graphing?

Mar 28, 2015

Find two solution points for each equation (the intercept points are usually the easiest);

draw the line of each equation using the pair of points you found for each;

trace the point where the lines intersect back to the X and Y-ax es for the coordinates of the intersection.

$3 x - 2 y = - 6$
has intercept points: $\left(x , y\right)$ $= \left(0 , 3\right)$ and $\left(- 2 , 0\right)$

$- 3 x - y = - 12$
has intercept points: $\left(x , y\right)$ $= \left(0 , 12\right)$ and $\left(4 , 0\right)$

These equations have a mutual solution at $\left(x , y\right) = \left(2 , 6\right)$