Equations with Special Cases

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What is an equation with infinite solutions?

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An equation with infinite solutions occurs when both sides of the equation are identical after simplification, meaning any value for the variable will satisfy the equation.

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What is an equation with no solutions?

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An equation with no solutions occurs when the two sides of the equation are contradictory after simplification, meaning there is no value for the variable that can satisfy the equation.

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One Solution; x = -10

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One Solution; x = 0

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One Solution; x = -1

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No Solutions

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No Solutions

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What does it mean if an equation has one solution?

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An equation has one solution when there is exactly one value for the variable that makes the equation true.

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What is the first step in solving a linear equation?

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The first step is to simplify both sides of the equation, which may include distributing, combining like terms, and isolating the variable.

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What is the principle of balancing equations?

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The principle of balancing equations states that whatever operation you perform on one side of the equation must also be performed on the other side to maintain equality.