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 'x' typically represent in a word problem involving money?

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'x' often represents the quantity of one type of item, such as the number of $20 bills in a problem about money.

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What does the variable 'y' typically represent in a word problem involving money?

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'y' often represents the quantity of another type of item, such as the number of $50 bills in a problem about money.

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'x' represents the number of one type of item, and 'y' represents the number of another type of item, with the total being 49.

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

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

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Substitute the values of the variables into each equation. If all equations are satisfied, the solution is correct.

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

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Read the problem carefully to identify the variables and the relationships between them.

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It represents the total number of legs contributed by 'x' horses and 'y' chickens, where horses have 4 legs and chickens have 2.

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What is the purpose of defining variables in a word problem?

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Defining variables helps to translate the problem into mathematical terms, making it easier to formulate equations.