How do you solve the system of equations #2x-3y=6# and #3y-2x=-6#?

2 Answers
Feb 5, 2015

Well, basically you have the same two lines written in a slight diferent form:
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You can argue that are two coincident lines with an #oo# number of common points so that your system has #oo# solutions!!!

Feb 5, 2015

The easiest method of solving this system will be using elimination. First rewrite the equations where the x terms line up and the y terms line up.

#2x-3y=6#
#-2x+3y=-6#

Now combine (add) the two equations.

#0 = 0#

This means that the lines are actually the same line. They have infinitely many solutions. This is known as a dependent system.