Solving Systems of Equations by 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 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 elimination method?

Back

A method for solving systems of equations by combining equations to eliminate one variable.

Front

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

Back

It means the lines represented by the equations are parallel and never intersect.

Front

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

Back

It means the equations represent the same line, so there are countless points of intersection.

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 first step in solving a system of equations by elimination?

Back

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

Front

Solve by elimination: 2x + 3y = 6 and 4x + 6y = 12. What is the solution?

Back

Infinite solutions.

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Solve by elimination: 3x + 2y = 12 and 6x + 4y = 24. What is the solution?

Back

Infinite solutions.

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Solve by elimination: 5x + 3y = 15 and 5x + 3y = 10. What is the solution?

Back

No solution.