Question 23176
One way to do this is to put all equations in the 
form y=mx+b.
Some pairs of lines will turn out to have the same "m" and "b".
These lines are identicaland the system has an infinite number
of solutions.
Some pairs will have the same "m" and different "b".
These lines are parallel and the system has no solution.
Some pairs will have different "m".  These lines 
will intersect at some point, so they have a single point
solution.


cheers,
Stan H.