SOLUTION: Hi, I need your help a problem word: Five times the reciprecal of a number equals the sum of 3/2 the reciprecal of the number and 7/6. What is the number? Thank you.

Algebra ->  Inverses -> SOLUTION: Hi, I need your help a problem word: Five times the reciprecal of a number equals the sum of 3/2 the reciprecal of the number and 7/6. What is the number? Thank you.      Log On


   

Question 747659: Hi, I need your help a problem word:
Five times the reciprecal of a number equals the sum of 3/2 the reciprecal of the number and 7/6. What is the number?
Thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Five times the reciprecal of a number equals the sum of 3/2 the reciprecal of the number and 7/6. What is the number?
------
Equation:
5(1/x) = (3/2)(1/x) + (7/6)
----------------------
Multiply thru by 6x to get:
-----
30 = 9 + 7x
---
7x = 21
x = 3
--------------
Cheers,
Stan H.
==============