Question

Morgan's way to solve the equation |2x-7| =5 is first to write |x-3.5|=2.5. explain this approach, and then finish the job.

Answer 1

Morgan divided 2 throughout the original equation, giving her |x-3.5|=2.5.

x = 6 and x = 1

Explanation:

|2x-7|=5 -- divide by 2

|x-3.5|=2.5 and |x-3.5|=-2.5 -- since this is an absolute value equation, we have to consider both positive and negative

x-3.5 = 2.5

x = 6

x-3.5 = -2.5

x = 1