Solve Systems of Equations by Elimination (+/-)

Front

What is a system of equations?

Back

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

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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, allowing you to solve for the other variable.

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate one variable.

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

Back

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

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

Back

It means that the equations represent the same line, so every point on the line is a solution.

Front

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

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If the lines represented by the equations intersect at exactly one point, the system has one solution.

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

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

Front

Given the equations -4x - 6y = 6 and 4x + 6y = -4, what is the solution?

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No solution.

Front

Solve the system: -9x - 4y = -20 and 5x + 4y = 4. What is the solution?

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(4, -4).

Front

What is the solution to the system: -4x - 4y = 0 and 4x + 4y = 0?

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Infinite number of solutions.