Tell How Many Solutions the Equation Has

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What does it mean if an equation has infinite solutions?

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An equation has infinite solutions when any value of the variable satisfies the equation, meaning the two sides of the equation are always equal.

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What does it mean if an equation has no solutions?

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An equation has no solutions when there is no value of the variable that can make the equation true, meaning the two sides of the equation are never equal.

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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 of the variable that satisfies the equation, making both sides equal.

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Infinite solutions.

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No solution.

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No solution.

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One solution.

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Infinite solutions.

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What is the first step in solving linear equations?

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The first step is to simplify both sides of the equation, if possible, by combining like terms.

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What is the goal when solving an equation?

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The goal is to isolate the variable on one side of the equation to find its value.