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 when added or subtracted, one variable cancels out.

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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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The variable x will eliminate.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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The solution is (-1, -2).

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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The solution is (7, 0).

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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The variable y will eliminate.

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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 do not 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 the line is a solution.

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CCSS.8.EE.C.8A

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How can you check your solution after solving a system of equations?

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Substitute the solution back into the original equations to verify that both equations are satisfied.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6