Systems-Elimination Flashcard

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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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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 there are countless points of intersection.

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CCSS.8.EE.C.8A

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(0, -1)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Back

the x

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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the y

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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(5, 4)

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CCSS.HSA.REI.C.9

Front

What is a system of equations?

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A system of equations is a set of two or more equations with the same variables.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in the elimination method?

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The first step is to align the equations and decide which variable to eliminate.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How can you make the coefficients of a variable equal in both equations?

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You can multiply one or both equations by a constant to achieve equal coefficients.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6