Solutions of Equations

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What is a solution of an equation?

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

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What does it mean if an equation has no solution?

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An equation has no solution if there are no values that can be substituted for the variable to make the equation true.

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What does it mean if an equation has infinite solutions?

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

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No Solution

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Infinite Solutions

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One Solution

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Subtract 3 from both sides to isolate the term with 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 you do to one side of the equation, you must do to the other side to maintain equality.

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What is a linear equation?

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