Question

ohan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. which explains whether his solutions are correct? a)he is correct because both solutions satisfy the equation. b)he is not correct because he made a sign error. c)he is not correct because there are no solutions. d)he is not correct because there is only one solution: x = 5.

Answer 1

-2 | 8-x| - 6 = -12...add 6 to both sides
-2 |8-x| = -12 + 6
-2 |8-x| = - 6...divide both sides by -2
|8-x| = -6/-2
|8-x| = 3

8 - x = -3          -(8 - x) = -3
-x = -3-8           -8 + x = -3
-x = -11              x = -3 + 8
x = 11                x = 5

not correct.....sign error