Elimination Method

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What is the Elimination Method in solving systems of equations?

Back

The Elimination Method is a technique used to solve systems of equations by eliminating one variable, allowing for the other variable to be solved directly.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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How do you apply the Elimination Method?

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To apply the Elimination Method, you manipulate the equations to align coefficients of one variable, then add or subtract the equations to eliminate that variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

An infinite number of solutions means that the equations represent the same line, and any point on that line is a solution.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has no solution?

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No solution means that the equations represent parallel lines that never intersect.

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CCSS.8.EE.C.8A

Front

Solve using elimination: 2x + 3y = 6 and 4x - 3y = 12.

Back

(3, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve using elimination: x + y = 5 and x - y = 1.

Back

(3, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in the Elimination Method?

Back

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

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an equation.

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CCSS.6.EE.A.2B

Front

How can you check the solution of a system of equations?

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You can check the solution by substituting the values back into the original equations to see if they hold true.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6