Question

Johan 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?

He is correct because both solutions satisfy the equation.
He is not correct because he made a sign error.
He is not correct because there are no solutions.
He is not correct because there is only one solution: x = 5.

Answer 1

Answer: Just did it on ed, answer is "He is not correct because he made a sign error."

Explanation:

Answer 2

He is not correct because he made a sign error.

Explanation:

-2 |8-x| - 6 = -12

-2 |8-x| = -12 + 6

-2 |8-x| = - 6

2 |8-x| = 6

|8-x| = 3

2 possible solutions:

8-x = 3 ----> x = 5

or

8-x = -3 ----> x = 11

Comparing the answer choices, we can see that Johan got the sign of x = 11 wrong.

Hence the correct answer is:

He is not correct because he made a sign error.