How can we create equations in one variable and use them to solve problems?

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How can we create equations in one variable and use them to solve problems?

Mathematics
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We let the unknown equal a variable. Then we translate the word problem into an algebraic equation using that variable. Then we solve the equation. Then we try the solution in the word problem to make sure it works and makes sense.
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Example: Word problem: "A number multiplied by 5 equals 15. What is the number?" Solution: choose a variable: let x equal the number. Write an equation: 5x = 15 Solve the equation: divide both sides by 5 x = 3 Test the solution in the original word problem to see if it is correct and makes sense. When 3 is multiplied by 5, we do get 15, so the solution x = 3 makes sense. Answer: the number is 3.
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