SOLUTION: |1/3x -9| =10 The problem is one-third x - 9 all in absolute value = 10. I don't understand how to even start to solve this problem.

Algebra ->  Absolute-value -> SOLUTION: |1/3x -9| =10 The problem is one-third x - 9 all in absolute value = 10. I don't understand how to even start to solve this problem.      Log On


   

Question 372161: |1/3x -9| =10
The problem is one-third x - 9 all in absolute value = 10. I don't understand how to even start to solve this problem.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
|%281%2F3%29x+-+9| = 10. This equation is actually two-equations-in-one. It's equivalent to solving the equations %281%2F3%29x+-+9 = 10 or %281%2F3%29x+-+9 = -10 . The first: x/3 = 19, or x = 57, after transposition and cross-multiplication. The second: x/3 = -1, or x = -3.