SOLUTION: solve the equation: |0.1x - 0.2| = |0.2x - 0.4|

Algebra ->  Absolute-value -> SOLUTION: solve the equation: |0.1x - 0.2| = |0.2x - 0.4|      Log On


   



Question 39825This question is from textbook
: solve the equation: |0.1x - 0.2| = |0.2x - 0.4| This question is from textbook

Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
solve the equation

|0.1x - 0.2| = |0.2x - 0.4|

There are two possibilities. Either:

Case 1.  The expressions inside the absolute values are equal

or

Case 2. One of those expressions is -1 times the other.

====================================================

Case 1. 

0.1x - 0.2 = 0.2x - 0.4 

Solve that and get x = 2

Case 2. 

0.1x - 0.2 = -1(0.2x - 0.4) 

Solve that and get x = 2

So the solutions turned out to be the same.
That is an unusual occurrence.  Usually there
are two solutions. 

Edwin
AnlytcPhil@aol.com