SOLUTION: if 5/7 is added to twice the reciprocal of a number, the result is 1. find the number. I got 5/7+1/2x=1 for my equation. I am confused about what it means for twice the reciproc

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: if 5/7 is added to twice the reciprocal of a number, the result is 1. find the number. I got 5/7+1/2x=1 for my equation. I am confused about what it means for twice the reciproc      Log On


   

Question 980600: if 5/7 is added to twice the reciprocal of a number, the result is 1. find the number.
I got 5/7+1/2x=1 for my equation. I am confused about what it means for twice the reciprocal of a number. does it mean that number times two or that number reciprocated twice so its actually just x
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x= the number
1%2Fx= the reciprocal of the number
2%2A%281%2Fx%29=2%2Fx= twice the reciprocal of the number
The equation is
5%2F7%2B2%2Fx=1
Multiplying both sides times 7x ,
7x%285%2F7%2B2%2Fx%29=7x
7x%285%2F7%29%2B7x%282%2Fx%29=7x
7x%285%2F7%29%2B7x%282%2Fx%29=7x
5x%2B14=7x
14=7x-5x
14=2x
14%2F2=x
7=x