Solving Systems 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 by elimination?

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It means to eliminate one variable by adding or subtracting the equations, making it easier to solve for the remaining variable.

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What is the first step in solving a system of equations by elimination?

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Align the equations so that corresponding variables and constants are in the same columns.

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What does it mean if a system of equations has infinite solutions?

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It means that the equations represent the same line, and there are countless points that satisfy both equations.

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What does it mean if a system of equations has no solution?

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It means that the equations represent parallel lines that never intersect.

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How do you determine if a system of equations has one solution?

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If the lines represented by the equations intersect at exactly one point, the system has one solution.

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infinite solutions

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(10, -1)

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(0, -2)

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(0, 1)