3-2 Solving Equations by Using Addition and Subtraction A

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Subtract -24 from both sides to isolate k. The solution is k = 12.

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Add 12 to both sides to isolate m. The solution is m = -2.

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Subtract 9 from both sides to isolate k. The solution is k = 8.

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Subtract 22 from both sides to isolate x. The solution is x = 42.

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Translate and solve: Twelve added to a number equals twenty-five.

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What does it mean to isolate a variable in an equation?

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To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

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What is the inverse operation of addition?

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The inverse operation of addition is subtraction.

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What is the inverse operation of subtraction?

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The inverse operation of subtraction is addition.

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How do you check if your solution to an equation is correct?

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Substitute the solution back into the original equation to see if both sides are equal.

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Subtract 5 from both sides. The solution is k = 7.