Solve By Elimination

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What is the elimination method in solving systems of equations?

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The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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How do you eliminate a variable using addition?

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To eliminate a variable using addition, you can add two equations together if they are set up such that one variable will cancel out.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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(2, 5)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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(-2, -6)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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(2, -3)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What operation is used to eliminate a variable?

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Addition or subtraction can be used to eliminate a variable.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What is the first step in the elimination method?

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The first step is to manipulate the equations so that the coefficients of one variable are opposites.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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(3, 0)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What do you do if the coefficients of the variable you want to eliminate are not opposites?

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You can multiply one or both equations by a number to create opposites.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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(2, 0)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6