How do you solve the system of equations #2x-3y=6# and #3y-2x=-6#?
Well, basically you have the same two lines written in a slight diferent form:
You can argue that are two coincident lines with an
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.
Now combine (add) the two equations.
This means that the lines are actually the same line. They have infinitely many solutions. This is known as a dependent system.