SOLUTION: Suppose you are solving a system of equations where one equation is y=|x| and the graph of the other equation is a line. What are the possible number of solutions? Select all that

Here is the graph of y = |x| in green



Here is a line (in red) that does not intersect it at all.



So it is possible to have 0 solutions.

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Here is a line that intersects it exactly 1 time:




So it's possible to have exactly 1 solution.

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Here is a line that intersects it exactly 2 times:



So it's possible to have exactly 2 solutions.

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Here is a line that coincides with the entire right side of
the graph:



So it's possible to have an infinite number of solutions.

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So there can be 0, 1, 2 or an infinite number of solutions.

Edwin