SOLUTION: solve for: A:|x-2|=8 B: |x+6| =3 PLEASE HELP ME!!!

Algebra ->  Algebra  -> Absolute-value -> SOLUTION: solve for: A:|x-2|=8 B: |x+6| =3 PLEASE HELP ME!!!      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 80721This question is from textbook Gateways to Algebra and Geometry
: solve for: A:|x-2|=8 B: |x+6| =3
PLEASE HELP ME!!!This question is from textbook Gateways to Algebra and Geometry

Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
A:
abs%28x-2%29+=+8 When you remove the absolute-value bars, you get two equations:
x-2+=+8 and x-2+=+-8 Add 2 to both sides of each equation.
x+=+10 and x+=+-6
Check:
abs%2810-2%29+=+8 so abs%288%29+=+8
abs%28-6-2%29+=+8 so abs%28-8%29+=+8
B:
abs%28x%2B6%29+=+3 Remove the absolute-value bars.
x%2B6+=+3 and x%2B6+=+-3 Subtract 6 from both sides of each equation.
x+=+-3 and x+=+-9
Check:
abs%28-3%2B6%29+=+3 so abs%283%29+=+3
abs%28-9%2B6%29+=+3 so abs%28-3%29+=+3