Special Case Equations

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What is a special case equation?

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A special case equation is an equation that can have no solution, one solution, or infinitely many solutions depending on the relationship between the variables.

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What does it mean if an equation has no solution?

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An equation has no solution when there are no values for the variable that can satisfy the equation.

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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 satisfies the equation.

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What does it mean if an equation has infinitely many solutions?

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An equation has infinitely many solutions when any value for the variable satisfies the equation.

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x = -1

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No Solution

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Infinite Solutions

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Infinite Solutions

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What is the first step in solving an equation?

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The first step is to simplify both sides of the equation if possible.

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What is the purpose of isolating the variable in an equation?

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Isolating the variable helps to find the value of the variable that satisfies the equation.