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 the cost of items in a word problem?

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You can represent the cost of items using variables. For example, let t be the price of a tigerfish and g be the price of a goldfish.

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What does it mean to write a system of equations from a word problem?

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It means to translate the relationships and conditions described in the problem into mathematical equations that can be solved.

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The coefficients (6 and 8) represent the quantities of each item being purchased, where t is the price of a tigerfish and g is the price of a goldfish.

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What is the first step in solving a word problem that requires a system of equations?

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Identify the variables that represent the unknown quantities in the problem.

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How do you determine the total cost in a word problem involving multiple items?

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You multiply the quantity of each item by its price and sum these products to find the total cost.

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It represents the total number of student tickets (S) and adult tickets (A) sold, which adds up to 530.

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What is the significance of the total receipts in a ticket sales problem?

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The total receipts represent the total money earned from ticket sales, which can be used to form an equation relating ticket prices and quantities.

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How do you set up an equation for a situation where two costs are equal?

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What does the variable 'x' typically represent in a system of equations?

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The variable 'x' often represents one of the unknown quantities being solved for, such as the number of a specific type of item.