SYSTEM OF EQUATIONS elimination

Front

What is a system of equations?

Back

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?

Back

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

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What is the elimination method?

Back

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?

Back

By adding or subtracting the equations to cancel out one variable.

Front

What is a unique solution in a system of equations?

Back

A single set of values for the variables that satisfies all equations.

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

Back

The equations represent parallel lines that never intersect.

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

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The equations represent the same line, meaning every point on the line is a solution.

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How can you check if your solution to a system of equations is correct?

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By substituting the values back into the original equations to see if they hold true.

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What is the graphical representation of a system of equations?

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The intersection points of the lines representing each equation.

Front

What is the first step in using the elimination method?

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