Respuesta :
-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:
x=5 is a solution
Step-by-step 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
[tex]-2|8-x|-6=-12[/tex]
[tex]-2|8-5|-6=-12[/tex]
[tex]-2(3)-6=-12[/tex]
[tex]-12=-12[/tex] True, x=5 is a solution
LEts plug in -11 for x in the given equation
[tex]-2|8+11|-6=-12[/tex]
[tex]-2(19)-6=-12[/tex]
[tex]50=-12[/tex] False, x=-11 is not a solution
