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Solving a quadratic and linear pair of simultaneous equations using elimination

Lesson 4 / 14

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I can solve two (one linear, one quadratic) simultaneous equations algebraically using elimination.

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When one equation is quadratic it will only be possible to eliminate the linear variable. Doing so produces a third equation which is quadratic. You can use any of your methods for solving a quadratic to find possible solutions. These values need to be substituted into one of the original equations to find its pair. If your quadratic has two valid solutions then you will have two pairs of solutions to your simultaneous equations.

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