# Why we have graphical and numerical methods for equations

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Explain the difference between solving a system of equations by the algebraic method and the graphical method to a sixth grader? This student also wants to know why there are different methods for solving the same problem-what would you tell him?

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##### Solution Summary

This solution goes over how to solve a system of equations using the algebraic and graphical method.

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To solve a system of equations by algebraic method, we manipulate the numbers so that one of the two variables is eliminated somehow, leaving one variable left that we can solve for and find its value. It is an entirely numerical means of finding the solution. On the other hand, when ...

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