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 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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(-2, -6)

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(8, 1)

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(-2, 2)

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(-4, 1)

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(-9, 5)

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

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A system has no solution if the equations represent parallel lines that never intersect.

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

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A system has infinitely many solutions if the equations represent the same line, meaning every point on the line is a solution.