Ask Question
15 December, 18:41

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?

0
Answers (1)
  1. 15 December, 19:07
    0
    Check his answers ...

    -2|8-x| - 6 = - 12 ... when x = 5

    -2 | 8-5| - 6 = - 12

    -2 (3) - 6 = - 12

    -6-6 = - 12

    -12 = - 12 (correct)

    -2 | 8 - x| - 6 = - 12 ... when x = - 11

    -2 | 8 - 11| - 6 = - 12

    -2 | - 3| - 6 = - 12

    -2 (3) - 6 = - 12 ... (the absolute value of a negative number is positive)

    -6-6 = - 12

    -12 = - 12 (correct)

    He is correct because both solutions satisfy the equation
Know the Answer?