Elimination method

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What is the Elimination Method in solving systems of equations?

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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

Front

How do you eliminate a variable in a system of equations?

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To eliminate a variable, you can add or subtract the equations in such a way that one variable cancels out.

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?

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An infinite number of solutions means that the equations represent the same line, and thus every 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.

Tags

CCSS.8.EE.C.8A

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Solve the system using Elimination Method: 2x + 3y = 6 and 4x + 6y = 12.

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Infinite number of solutions.

Tags

CCSS.8.EE.C.8B

Front

Solve the system using Elimination Method: x + y = 5 and x - y = 1.

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(3, 2).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in using 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

How can you make the coefficients of a variable equal in two equations?

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You can multiply one or both equations by a number to make the coefficients of the variable you want to eliminate equal.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve using Elimination Method: 3x + 2y = 12 and 3x - y = 3.

Back

(3, 0).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a key advantage of the Elimination Method over substitution?

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The Elimination Method can be more efficient for systems with complex equations or when both equations are already aligned.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6