Question 23438: when is there one answer? when are there two answers? and when is there no answer?
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! I'm not sure what kind of problems you are talking about.
If you have two straight line graphs, then the lines USUALLY intersect in ONE point. That is, USUALLY, except for TWO possibilities. If the lines are parallel, then the lines do NOT intersect, so there will be NO SOLUTION. The other possibility is that the lines could actually be the SAME LINE. In this case, the entire line is the solution, so there are infinitely many solutions.
Two straight lines CANNOT intersect in TWO points. However, if you had a quadratic function (i.e., a parabola), then it could intersect a straight line in TWO points (or in ONE point, or no points which would be no solution).
Is this what you had in mind?
R^2 at SCC
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