Systems 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 for a system of equations to have no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.

Front

What does it mean for a system of equations to have an infinite number of solutions?

Back

It means that the equations represent the same line, resulting in overlapping solutions.

Front

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

Back

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

Front

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

Back

Infinite number of solutions.

Front

What is the first step in using the elimination method?

Back

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

Front

Solve by elimination: 5x + 2y = 10 and 5x - 2y = 0.

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(2,0)