Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

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How do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations. If both equations are satisfied, the point is a solution.

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What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved simultaneously.

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What does it mean for two equations to be consistent?

Back

Two equations are consistent if they have at least one solution.

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What does it mean for two equations to be independent?

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Two equations are independent if they have exactly one solution.

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What does it mean for two equations to be dependent?

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Two equations are dependent if they represent the same line, meaning they have infinitely many solutions.

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How do you eliminate a variable in a system of equations?

Back

You can eliminate a variable by multiplying one or both equations by a number so that the coefficients of one variable are opposites, allowing for cancellation when the equations are added or subtracted.

Front

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

Back

The first step is to align the equations and decide which variable to eliminate.

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Back

The solution is any point on the line, as the equations are dependent.

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Back

The solution is (0, 4).