Using Substitution to Solve an Equation

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What is substitution in solving equations?

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Substitution is a method used to replace a variable with a number or another expression to simplify and solve an equation.

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What does it mean to solve for a variable?

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To solve for a variable means to find the value of that variable that makes the equation true.

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How do you isolate a variable in an equation?

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To isolate a variable, you perform operations to get the variable on one side of the equation and all other terms on the opposite side.

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What is the purpose of using equations in mathematics?

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Equations are used to represent relationships between quantities and to solve problems involving those quantities.

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What does it mean if an equation has no solution?

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An equation has no solution if there is no value for the variable that makes the equation true.