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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Easy

5 x = 45

What is the positive solution to the given equation?

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Explanation

The correct answer is 9. Dividing both sides of the given equation by 5 yields |x|=9. By the definition of absolute value, if |x|=9, then x=9 or x=-9. Therefore, the two solutions to the equation 5x=45 are 9 and -9. It follows that the positive solution to the given equation is 9.