whats the value of p if 5/6 -1/3n is equivalent to p(5-2n)

Question

find the value of p so the expression 5/6 -1/3n is equivalent to p(5-2n), explain the steps you took and how you found p.

Answer 1

5/6-(1/3)n=p(5-2n)

multiply both sides by 6

6(5/6)-6(1/3)n=6[p(5-2n)]

5-2n=6p(5-2n)

6p must equal 1

6p=1

p=1/6

Answer 2

Hi Tania,

 

This will not have numerical answer.

 

5  _   1    =   p (5-2n)

6      3n

 

LCD is 6n.

 

5n  _   2   =  p (5-2n)    [combine two fractions on the left]

6n      6n

 

5n-2    =  p (5-2n)         [divide by (5-2n) both sides]

  6n

 

 5n  -  2      =   p

6n (5-2n)

 

 

I hope you understand it.  Good luck.