x - 9 + 45 = 63 What is the sum of the solutions to the given equation?

Question

Accepted Answer

The correct answer is 18 . Subtracting 45 from each side of the given equation yields x - 9 = 18 . By the definition of absolute value, if x - 9 = 18 , then x - 9 = 18 or x - 9 = - 18 . Adding 9 to each side of the equation x - 9 = 18 yields x = 27 . Adding 9 to each side of the equation x - 9 = - 18 yields x = - 9 . Therefore, the solutions to the given equation are 27 and - 9 , and it follows that the sum of the solutions to the given equation is 27 + - 9 , or 18 .

Question x-9-45