Bunuel wrote:

If xy > 0, 1/x + 1/y = 5, and 1/xy = 6, then (x+y)/5 = ?

A. 1/25

B. 1/6

C. 1/5

D. 5

E. 6

HarrishGowtham wrote:

Answer is B.

(1/X+1/Y)=5 canbe solved as {(x+y)/xy}=6. Substituting for 1/xy=6, we get

x+y=5/6

==> (x+y)/5= 5/(6*5)=1/6.

I am stuck trying to understand this explanation. I got the right answer, but not this way.

\(\frac{1}{x}+ \frac{1}{y} = 5\)

\((\frac{1}{x}+ \frac{1}{y}) = \frac{x + y}{xy}\)

Aren't the two RHS equivalent?

**Quote:**

(1/X+1/Y)=5 can be solved as {(x+y)/xy}=6.

Can anyone explain the steps from the first part of the above sentence to the last part? If the two RHS above quote are equivalent, where does "= 6" come from?

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