Question 818966
<pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi
If 2 times the reciprocal of a number{{{green(x)}}} is subtracted from 3 times the number, the difference is 1.
 {{{3x - 2/x = 1}}} ****       |Multiplying thru by x so as all denominators = 1
    3x^2 - 2 = x
   3x^2 - x - 2 = 0
  (3x+2)(x-1) = 0
  (3x+2)=0   , x = -2/3
  (x-1)= 0  ,  x = 1
CHECKING our answer***
  3 -2 = 1
{{{ -2 - 2/(-2/3) = -2 -2(-3/2) = -2 + 3 = 1}}}