Posted by algebra on Wednesday, March 21, 2012 at 12:26pm.
3 possible cases:
1. one unique solution
the two graphs intersect at a single point, which also means that the slopes of the two lines are different.
2. no solution
The two lines are parallel and distinct, so there is no intersection in the Euclidean plane.
3. Infinite number of solutions
The two lines are parallel and coincident. Thus any point on the line(s) is a solution to the system of two equations.
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