Question

Johan found that the equation -2|8-x|-6=-12 has two possible solutions: x=5 and x=-11. Which explains wether his solutions are correct

Answer 1

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

-2|8-x|=-6

|8-x|=3

8 - x = 3 and 8 - x = -3

8 - x = 3

-x = -5

x = 5

8 - x = -3

-x = -11

x = 11

Johan's second solution is incorrect.

The solution is x = 5 and 11

Answer 2

x=5 is a solution

Explanation:

Johan found that the equation -2|8-x|-6=-12 has two possible solutions

To check the solutions we replace the given values in the equation and check whether we get both sides are same.

Given solutions are x=5, x=11

LEts plug in 5 for x in the given equation

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

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

`-2(3)-6=-12`

`-12=-12` True, x=5 is a solution

LEts plug in -11 for x in the given equation

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

`-2(19)-6=-12`

`50=-12` False, x=-11 is not a solution