Systems-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.

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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 the first step in using the elimination method?

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The first step is to align the equations and decide which variable to eliminate.

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The solution is (6, -7).

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The solution is (3, -1).

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The solution is (4, 6).

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The solution is (0, 10).

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The solution is (2, -3).

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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 has at least one solution, meaning the equations intersect at one or more points.