Solving Equations

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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 to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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What is a solution to an equation?

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A solution to an equation is a value that, when substituted for the variable, makes the equation true.

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What are the types of solutions an equation can have?

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An equation can have one solution, no solutions, or infinitely many solutions.

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How do you determine if an equation has no solutions?

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An equation has no solutions if it simplifies to a false statement, such as 0 = 5.

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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 if it simplifies to a true statement for all values of the variable, such as 0 = 0.

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This equation has infinitely many solutions because both sides simplify to the same expression.

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