Writing Systems of Equations from 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 set of values that satisfy all equations in the system.

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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 the variable 'S' typically represent in ticket sales problems?

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In ticket sales problems, 'S' usually represents the number of student tickets sold.

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What does the variable 'A' typically represent in ticket sales problems?

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In ticket sales problems, 'A' usually represents the number of adult tickets sold.

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How do you write an equation for total tickets sold?

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How do you write an equation for total revenue from ticket sales?

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

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The first step is to write the system of equations based on the problem's information.

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What does it mean to solve a system of equations graphically?

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Solving graphically means plotting the equations on a graph and finding the point(s) where they intersect, which represents the solution.

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What is substitution in solving systems of equations?

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Substitution is a method where you solve one equation for one variable and then substitute that expression into the other equation.

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What is elimination in solving systems of equations?

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Elimination is a method where you add or subtract equations to eliminate one variable, making it easier to solve for the other.