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A system of linear equations is consistent if there is only one solution for the system.

Thus, if you see that the drawn lines intersect, you can say that the system is consistent, and the point of intersection is the only solution for the system. A system of linear equations is inconsistent if it does not have any solution.

Thus, if you see that the drawn lines are parallel, you can say that the system is inconsistent, and there is not any solution for the system.

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Q: In solving a system of two linear equations or two functions by graphing what is meant by if the system is consistent or inconsistent?
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