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.

Front

When would you add equations in the elimination method?

Back

You would add equations when the coefficients of one variable are opposites, allowing you to eliminate that variable.

Front

When would you subtract equations in the elimination method?

Back

You would subtract equations when the coefficients of one variable are the same, allowing you to eliminate that variable.

Front

What does it mean to 'eliminate y' in a system of equations?

Back

To 'eliminate y' means to manipulate the equations so that the variable y is removed, allowing you to solve for the other variable.

Front

What does it mean to 'eliminate x' in a system of equations?

Back

To 'eliminate x' means to manipulate the equations so that the variable x is removed, allowing you to solve for the other variable.

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What is a system of equations?

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

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What is the solution to a system of equations?

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The solution to a system of equations is the point (x, y) where the equations intersect, representing the values of the variables that satisfy all equations in the system.

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How do you check if a solution is correct for a system of equations?

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To check if a solution is correct, substitute the values of x and y back into the original equations to see if they hold true.

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What is the first step in using the elimination method?

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The first step is to align the equations and decide whether to add or subtract them based on the coefficients of the variables.

Front

What is the purpose of multiplying an equation in the elimination method?

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Multiplying an equation is done to create equivalent equations that have the same or opposite coefficients for one variable, facilitating elimination.