3/9 BR system of equations word problems

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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. The solution is the point(s) where the equations intersect.

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How do you represent a word problem as a system of equations?

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Identify the variables, translate the relationships and conditions into equations, and ensure the equations reflect the problem's constraints.

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What does 's' represent in the context of ticket sales?

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In the context of ticket sales, 's' typically represents the number of senior citizen tickets sold.

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What does 'c' represent in the context of ticket sales?

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In the context of ticket sales, 'c' typically represents the number of child tickets sold.

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How do you solve a system of equations graphically?

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Graph each equation on the same coordinate plane and identify the point(s) where the lines intersect.

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What is the substitution method for solving systems of equations?

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The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

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What is the elimination method for 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.

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What is the significance of the coefficients in a system of equations?

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Coefficients represent the rate of change or the quantity associated with each variable in the equations.

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How can you check the solution of a system of equations?

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Substitute the solution back into the original equations to verify that both equations are satisfied.

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What is a real-world application of systems of equations?

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Systems of equations can be used to model and solve problems involving multiple constraints, such as budgeting, ticket sales, and resource allocation.