System of Equation (Elimination Method) - 2024 (Honors)

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What is the elimination method in solving systems of equations?

Back

A technique used to eliminate one variable by adding or subtracting equations, making it easier to solve for the remaining variable.

Front

Back

(1, 3)

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 do not intersect.

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Back

(4, 1)

Front

What is the first step in the elimination method?

Back

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

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Back

(4, -1)

Front

What is a consistent system of equations?

Back

A system that has at least one solution.

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Back

(-4, 2)

Front

What is an inconsistent system of equations?

Back

A system that has no solutions.