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 apply the Elimination Method?

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To apply the Elimination Method, you manipulate the equations to align coefficients of one variable, then add or subtract the equations to eliminate that variable.

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

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An infinite number of solutions means that the equations represent the same line, and any point on that line is a solution.

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

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No solution means that the equations represent parallel lines that never intersect.

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Solve using elimination: 2x + 3y = 6 and 4x - 3y = 12.

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(3, 0)

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Solve using elimination: x + y = 5 and x - y = 1.

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(3, 2)

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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.

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What is the first step in 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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What is a coefficient in an equation?

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A coefficient is a numerical factor that multiplies a variable in an equation.

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How can you check the solution of a system of equations?

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You can check the solution by substituting the values back into the original equations to see if they hold true.