Systems of Equations Elimination Multiplication Exit Ticket

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What is the elimination method in solving systems of equations?

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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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When would you add equations in the elimination method?

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

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When would you subtract equations in the elimination method?

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

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

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

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

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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.

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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.