SOLUTION: Explain how you can determine the number of solutions by looking at the graph of a system of linear equations.

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Question 527619: Explain how you can determine the number of solutions by looking at the graph of a system of linear equations.
Found 2 solutions by stanbon, amalm06:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Explain how you can determine the number of solutions by looking at the graph of a system of linear equations.
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Real Number solutions: number of times the graph crosses the x-axis.
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Cheers,
Stan H.
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Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
Consider two lines in the Euclidean plane. Either the two lines intersect (at one point), are parallel and don't intersect (no solutions), or overlap (infinite number of solutions). In the first case, if the lines intersect at only point, then there is exactly one member in the solution set.