Solving Systems Using Elimination

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What is a system of equations?

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

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What does it mean to solve a system of equations?

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Finding the values of the variables that satisfy all equations in the system.

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What is the elimination method?

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A technique for solving systems of equations by eliminating one variable to solve for the other.

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

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By adding or subtracting the equations to cancel out one of the variables.

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What is a consistent system of equations?

Back

A system that has at least one solution.

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What is an inconsistent system of equations?

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A system that has no solutions.

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What is a dependent system of equations?

Back

A system that has infinitely many solutions, where the equations represent the same line.

Front

What is the first step in using elimination to solve the system: 2x + 2y = -2 and 3x - 2y = 12?

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Cross out the 2y and -2y.

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No Solution.

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Back

(4, -4).