Question

Select the correct answer. What is the solution to the equation |5 − x| = 13? A. x = -8 or x = 18 B. x = -18 or x = 8 C. x = 8 D. x = -18

Answer 1

Answer:

Option A

Step-by-step explanation:

|5 - x| = 13 or |5 - x| = -13

5 - x = 13 or 5 - x = -13

Subtract 5 from both sides;

-x = 8 or -x = -18

Divide both sides by -1

x = -8 or x = 18

Answer 2

Answer: A) X = -8 or X = 18

Step-by-step explanation:

Since we're dealing with absolute value, there are going to be two different solutions to this equation.

5 - x = 13

-x = 8

x = -8

OR

5 -x = -13 ( the negative is from the absolute value)

-x = - 18

x= 18