# Methods of Solving Systems of Equations

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When solving a system of equations, what are the 3 possible outcomes?

Describe how you can determine each of the possible outcomes using one of the algebraic methods.

Do not look at the graph. Do not look at the individual equations, just look at the outcome, the "answer" you get after using substitution or elimination/addition on the system of equations.

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##### Solution Summary

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The three possible outcomes of solving a system of linear equations are:

- one solution

- infinite solutions, and

- no solution

One solution is obtained after solving the equations and arriving at only one set of ordered pair. That one ordered pair, when ...

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