System of Equations Elimination

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations by elimination?

Back

It means to eliminate one variable by adding or subtracting the equations to find the value of the other variable.

Front

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

Back

Align the equations so that like terms are in the same column.

Front

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

Back

It means that the equations represent the same line, and every 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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It means that the equations represent parallel lines that never intersect.

Front

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

Back

If the lines represented by the equations intersect at exactly one point.

Front

What is the elimination method?

Back

A method for solving systems of equations by removing one variable to solve for the other.

Front

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

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Infinite solutions.

Front

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

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(2, 3)