Writing Systems of Equations (Word Problems) HW

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What is a system of equations?

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A set of two or more equations with the same variables that can be solved together.

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What does it mean to solve a system of equations?

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Finding the values of the variables that satisfy all equations in the system.

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What is a word problem in mathematics?

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A problem that presents a mathematical situation in the form of a story or real-life scenario.

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How do you identify variables in a word problem?

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Look for quantities that change or are unknown, often represented by letters like x and y.

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

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Read the problem carefully and identify the variables and their relationships.

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

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Translate the relationships and conditions described in the problem into mathematical equations.

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What is the substitution method in solving systems of equations?

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A method where you solve one equation for one variable and substitute that expression into the other equation.

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What is the elimination method in solving systems of equations?

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

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What does it mean for a system of equations to be consistent?

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It means that there is at least one solution to the system.

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What does it mean for a system of equations to be inconsistent?

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It means that there are no solutions to the system.