Solve systems by elimination

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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 the other variable to be solved directly.

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

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To eliminate a variable, you can multiply one or both equations by a number so that the coefficients of one variable are opposites, allowing you to add or subtract the equations.

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables that are solved together.

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What does it mean for a system of equations to be consistent?

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A consistent system of equations has at least one solution, meaning the equations intersect at one or more points.

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What does it mean for a system of equations to be inconsistent?

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An inconsistent system of equations has no solutions, meaning the equations represent parallel lines that never intersect.