4.3 Systems - Elimination Honors

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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.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

How do you determine which variable to eliminate in a system of equations?

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Choose the variable that can be easily eliminated by adding or subtracting the equations, often based on the coefficients.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in using the elimination method?

Back

Align the equations and manipulate them (if necessary) so that the coefficients of one variable are opposites.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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Back

(-8, 3)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a common coefficient in the context of elimination?

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A common coefficient is a number that appears in front of a variable in both equations, allowing for easy elimination.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Back

(3, 5)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Back

2

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CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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Back

(10, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

Back

Elimination because there is a common coefficient.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the goal of the elimination method?

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To simplify the system of equations to a single equation with one variable, making it easier to solve.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B