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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How do you determine if a system of equations has no solution?

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A system has no solution if the equations represent parallel lines, which means they have the same slope but different y-intercepts.

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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, so every point on the line is a solution.

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CCSS.8.EE.C.8A

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(-1, 2)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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(4, -3)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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(8, 1)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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(-4, 1)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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(-3, 0)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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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

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How can you make the coefficients of one variable the same in both equations?

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You can multiply one or both equations by a number to achieve the same coefficient for the variable you want to eliminate.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6