SOLUTION: Please help me with this questions, |5n-6| = 22 This is what I think: 5n-6=22 5n=22+6 5n=28 5n/5 = 28/5 n = 5 3/5 Is this how you go about solving this problem, or

Algebra ->  Absolute-value -> SOLUTION: Please help me with this questions, |5n-6| = 22 This is what I think: 5n-6=22 5n=22+6 5n=28 5n/5 = 28/5 n = 5 3/5 Is this how you go about solving this problem, or      Log On


   

Question 162837: Please help me with this questions,
|5n-6| = 22
This is what I think:
5n-6=22
5n=22+6
5n=28
5n/5 = 28/5
n = 5 3/5
Is this how you go about solving this problem, or am I totally off base???
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Well, you're not totally off base, perhaps only half off!
Solve for n:
abs%285n-6%29+=+22 Remove the the absolute-value bars, but note you will get two equations as a result!
5n-6+=+22 or 5n-6+=+-22 Now you solve these two equations, the first of which you have done correctly.
First one:
5n-6+=+22 Add 6 to both sides.
5n+=+28 Divide both sides by 5.
n+=+28%2F5
highlight%28n+=+5.6%29 or n+=+53%2F5
Second one:
5n-6+=+-22 Add 6 to both sides.
5n+=+-16 Divide both sides by 5.
n+=+-16%2F5
highlight%28n+=+-3.2%29 or n+=+-31%2F5