1/5(1/3x-5)=1/3(3-1/x)

Question

This is a problem based on linear equations. Please help me! 

Answer 1

1/5(1/3x-5)=1/3(3-1/x) to find x simply multiply both sides of equation by the LCM for 3,5 (15), then solve:

 

So,

 

(15)times 1/5(1/3x-5)=(15)times 1/3(3-1/x) implying 3(1/3x-5)=5(3-1/x) leading to 1/x-15=15-5/x

 

Now isolating the monomial we get  5/x+1/x=30 leading to 6/x=30; dividing both sides by 6 gives 1/x=5 and

finally x=1/5.

 

Good luck!        Johnnie

Answer 2

1/5 ( 1/3X - 5 ) = 1/ 3 ( 3 - 1/ X)    

 

 

1/15X  - 1 = 1 -1/3X          Simplify both sides.

 

15X( 1/ 15X - 1 ) = 15X ( 1 - 1/3X)

   

 1 - 15X = 15X -5

 

   6 = 30X

 

     X = 6/30 = 1/5