–5x+13 = 73 What is the sum of the solutions to the given equation? −
Correct answer: D (parsed from the explanation — this source omits an answer key for this item)
Explanation
-5 +13 =73 Choice D is correct. By the definition of absolute value, if x , then -5 +13=73 -5 +13=-73 13 x or x . Subtracting from both sides of the -5 +13=73 -5 =60 equation x yields x . Dividing both sides of this equation by - =-12 13 5 yields x . Subtracting from both sides of the equation -5 +13=-73 -5 =-86 - x yields x . Dividing both sides of this equation by 5 = 86 -12 86 yields x 5. Therefore, the solutions to the given equation are and 5, and it -12+ 86 26 follows that the sum of the solutions to the given equation is 5, or 5. Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect. This is a solution, not the sum of the solutions, to the given equation. Choice C is incorrect and may result from conceptual or calculation errors.
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