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7-3 Elimination Using Addition and Subtraction 7-4 Elimination Using Multiplication Objective: Students will be able to: Solve a system of linear equations by elimination

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What would happen if you tried to solve a problem like this using substitution?

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Elimination Elimination is another algebraic method to solve a system of equations. The goal of elimination is to eliminate one of the variables by adding or subtracting the equations. If adding or subtracting does not eliminate a variable, you will need to manipulate one or both equations by using multiplication so that one of the variables does eliminate.

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Let’s use elimination to solve the previous example.

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Example 1: Use elimination to solve each system of equations. a) Try this. b)

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c) d)

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Try these. e) f)

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What happens when one of the variables does not readily eliminate? g) h)

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i)j)

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k)l)

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Try these. m)n)

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