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

1 Answer
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-axenter image source here es for the coordinates of the intersection.

#3x-2y=-6#
has intercept points: #(x,y)# #=(0,3)# and #(-2,0)#

#-3x-y=-12#
has intercept points: #(x,y)# #=(0,12)# and #(4,0)#

These equations have a mutual solution at #(x,y)=(2,6)#