Flashcard 4.2

Front

What does it mean to clear a fraction in an equation?

Back

Clearing a fraction involves multiplying both sides of the equation by the denominator to eliminate the fraction.

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What is a system of equations?

Back

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

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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.

Front

How do you eliminate a variable by multiplying equations?

Back

You can eliminate a variable by multiplying one or both equations by a number so that the coefficients of one variable are opposites.

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Back

Identify which variable you want to eliminate and decide how to manipulate the equations.

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What happens when you add two equations together?

Back

When you add two equations, you combine like terms, which can help eliminate a variable.

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What is the purpose of manipulating equations in a system?

Back

The purpose is to create a simpler equation that can be solved more easily.