Solving Equations with Variables on Both Sides

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Back

m = -1

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x = -rac{2}{3}

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x = -1

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m = rac{3}{5}

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x = rac{1}{4}

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What does it mean to have variables on both sides of an equation?

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It means that the variable appears on both the left and right sides of the equation, requiring manipulation to isolate the variable.

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What is the first step in solving an equation with variables on both sides?

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Combine like terms on both sides of the equation.

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How do you isolate a variable in an equation?

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You perform inverse operations to move all terms involving the variable to one side and constant terms to the other.

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What is the importance of checking your solution in an equation?

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Checking ensures that the solution satisfies the original equation, confirming its validity.

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What is a common mistake when solving equations with variables on both sides?

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Forgetting to apply the same operation to both sides of the equation.