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Strategies for Solving Linear-Quadratic Systems of Equations Algebraically:
Comparison, Elimination, and Substitution

NOTE: You have seen a page similar to this one previously, where it described how to solve linear-linear systems of equations. This page, however, describes how to solve linear-quadratic systems of equations.
In previous math courses you learned that systems of equations can be solved algebraically by comparison, elimination or substitution.
The following examples show how linear-quadratic systems of equations can be solved by all three strategies.


Note that each situation calls for its own strategy, and each person prefers a different method. It is up to you to choose which algebraic method, or combination of methods you use for each problem.

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