AR Review Practice: Elimination Method 12-09-24

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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.

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What does it mean to eliminate a variable in a system of equations?

Back

To eliminate a variable means to manipulate the equations so that one variable is removed, making it possible to solve for the other variable.

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Back

y

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Back

y variables

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Back

Cross out the 3y and -3y.

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Back

(10,-1)

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What is the purpose of multiplying an equation in the elimination method?

Back

Multiplying an equation can help to align coefficients of one variable, making it easier to eliminate that variable.

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

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Choose the variable that can be easily eliminated by aligning coefficients through addition or subtraction.

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5x = -10, which simplifies to x = -2.

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What is the significance of the coefficients in the elimination method?

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Coefficients determine how the equations can be manipulated to eliminate variables.