Solve systems 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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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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(7, -1)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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x

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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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(-4, -2)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What does it mean for two equations to be dependent?

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Two equations are dependent if they represent the same line, meaning they have infinitely many solutions.

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CCSS.8.EE.C.8B

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What does it mean for two equations to be independent?

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Two equations are independent if they represent different lines that intersect at exactly one point, meaning they have a unique solution.

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CCSS.8.EE.C.8B

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What does it mean for two equations to be inconsistent?

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Two equations are inconsistent if they represent parallel lines that never intersect, meaning they have no solution.

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CCSS.8.EE.C.8A