SOLUTION: I have been unable to find any examples of how to solve this type of problem. How do you solve an the absolute value of and expression w/a variable divided by a number equal a

Algebra ->  Absolute-value -> SOLUTION: I have been unable to find any examples of how to solve this type of problem. How do you solve an the absolute value of and expression w/a variable divided by a number equal a      Log On


   

Question 54181: I have been unable to find any examples of how to solve this type of problem.

How do you solve an the absolute value of and expression w/a variable divided by a number equal a fraction
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Let me show you an example:
First isolate the absolute value.
abs%28x-1%29%2F4=2%2F3
4%2Aabs%28x-1%29%2F4=%282%2F3%294
abs%28x-1%29=8%2F3
Then make two equations x-1=8/3 and x-1=-8/3 and solve both for x:
x-1=8%2F3
3%28x-1%29=%288%2F3%29%2A3
3x-3=8
3x-3%2B3=8%2B3
3x=11
3x%2F3=11%2F3
highlight%28x=11%2F3%29
highlight%28or%29
x-1=-8%2F3
3%28x-1%29=%28-8%2F3%29%2A3
3x-3=-8
3x-3%2B3=-8%2B3
3x=-5
3x%2F3=-5%2F3
highlight%28x=5%2F3%29
Happy Calculating!!!