Solving by Elimination

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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

How do you determine which variable to eliminate first?

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Choose the variable that can be easily eliminated by aligning coefficients through multiplication or direct addition/subtraction of the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in solving a system of equations by elimination?

Back

The first step is to manipulate the equations, if necessary, to align the coefficients of one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Back

(7, -1)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Back

(5, -8)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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 never intersect.

Tags

CCSS.8.EE.C.8A

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Back

(-4, 1)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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.

Tags

CCSS.8.EE.C.8A

Front

Back

(-1, -5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solutions, indicating that the equations represent parallel lines.

Tags

CCSS.8.EE.C.8A