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

x+45=48

What is the positive solution to the given equation?

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Explanation

Choice A is correct. The given absolute value equation can be rewritten as two linear equations: x + 45 = 48 and -x+45=48, or x + 45 = - 48 . Subtracting 45 from both sides of the equation x + 45 = 48 yields x = 3 . Subtracting 45 from both sides of the equation x + 45 = - 48 yields x = - 93 . Thus, the given equation has two possible solutions, 3 and - 93 . Therefore, the positive solution to the given equation is 3 .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.