Solving by Elimination - Addition

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What is the Elimination Method in solving systems of equations?

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The Elimination Method is a technique used to solve systems of equations by eliminating one variable, allowing for the other variable to be solved directly.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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How do you eliminate a variable in a system of equations?

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To eliminate a variable, you can add or subtract the equations in such a way that one variable cancels out.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What is the first step in using the Elimination Method?

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The first step is to align the equations and manipulate them (if necessary) 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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(-5, 1)

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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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(1, 5)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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y

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What does it mean if a system of equations has no solution?

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It means that the lines represented by the equations are parallel and never intersect.

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CCSS.8.EE.C.8A

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What does it mean if a system of equations has infinitely many solutions?

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It means that the equations represent the same line, and every point on that line is a solution.

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CCSS.8.EE.C.8A