Question 856954
<pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
{{{1/x + 1/(5x) = 54/5}}}     |Multiplying thru by 5x so as all denominators = 1
   5 + 1 = 54x
      6 = 54x
      1/9 = x and 5x = 5/9
CHECKING our answer***The sum of their reciprocals is 54/5
{{{ 9/1 +  9/5 = 45/5 + 9/5 = 54/5}}}
Wish You the Best in your Studies.