Equations - all no one

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing 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 make the equation true.

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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 infinite solutions?

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An equation has infinite solutions when any value for the variable makes the equation true.

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No solution.

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No solution.

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Infinite solutions.

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What is a variable in an equation?

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A variable is a symbol, often a letter, that represents an unknown value in an equation.

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What is the purpose of solving an equation?

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The purpose of solving an equation is to find the value(s) of the variable that make the equation true.