SOLUTION: Hello, I was wondering if you can help me solve this absolute value equation containing fractions. 3|1-5x/3|+5 =9 Thank you, Juan

Algebra ->  Absolute-value -> SOLUTION: Hello, I was wondering if you can help me solve this absolute value equation containing fractions. 3|1-5x/3|+5 =9 Thank you, Juan      Log On


   

Question 708666: Hello, I was wondering if you can help me solve this absolute value equation containing fractions. 3|1-5x/3|+5 =9
Thank you,
Juan
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
3|1-5x/3|+5 =9
Add -5 to both sides,
Divide both sides by 3:

abs%281-5x%2F3%29=4%2F3.

(1-5x/3) may be positive (or zero) or negative.

%281-5x%2F3%29%3E=0 ?
abs%281-5x%2F3%29=1-5x%2F3=4%2F3,
-5x%2F3=4%2F3-1
-5x%2F3=1%2F3
x=-1%2F5

1-5x%2F3%3C0 ?
abs%281-5x%2F3%29=-%281-5x%2F3%29=4%2F3
5x%2F3-1=4%2F3
5x%2F3=7%2F3
x=%283%2F5%29%2A%287%2F3%29
x=7%2F5

summary: x=-1%2F5 or x=%2B7%2F5