Systems by Elimination (Short)

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What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to eliminate a variable?

Back

To eliminate a variable means to manipulate the equations so that one variable is removed, allowing for the solution of the remaining variable.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

The variable x will be eliminated.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

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

Back

The solution is (-1, -4).

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Back

The solution is (-6, 7).

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Back

The solution is (1, -1).

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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?

Back

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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Back

The system has no solution.

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CCSS.8.EE.C.8B

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the lines intersect at one or more points.

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CCSS.8.EE.C.8A