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Mathematics 18 Online
OpenStudy (anonymous):

Absolute Value Equations! Please help!

OpenStudy (anonymous):

\[5 |x-8|+4=1\left| x-8 \right|+9\]

OpenStudy (anonymous):

Okay do you know what your supposed to do?

hartnn (hartnn):

try to isolate |x-8| first.

OpenStudy (anonymous):

What don't you understand?

OpenStudy (anonymous):

i dont get what i'm suppose to be doing. Simpliflying, finding x, i don't know

OpenStudy (anonymous):

Well for each problem they should ask what type of answer they want from it.

OpenStudy (anonymous):

In this problem it seems like they want x.

OpenStudy (anonymous):

it says x=___ or x=___

hartnn (hartnn):

yeah, here you are finding possible values of x

OpenStudy (anonymous):

Like @hartnn said you will be isolating x and you will get two answers for x.

OpenStudy (anonymous):

so do i add x-8 to both sides?... or?

OpenStudy (anonymous):

Okay so can you isolate |x-8| by yourself? Or would you like me to show you?

hartnn (hartnn):

can you isolate |x-8| first to make things simpler, you can let y = |x-8| and solve 5y+4=y+9 and solve for y first

OpenStudy (anonymous):

Lol @hartnn has this covered :P Lol Im gonna head to another problem. Best of luck to you @Lizzychey :)

OpenStudy (anonymous):

Thank you both for your help :)

OpenStudy (anonymous):

ok so i got 5/4

hartnn (hartnn):

yes, |x-8| = 5/4 is correct. are you sure about the question ? anyways, if |x| = c then x=c OR x=-c so, what about |x-8| =5/4 ?

OpenStudy (anonymous):

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