Solve 1/x+1/y+1/z=1 for x,y, and z please.?

Question

If possible, can you show the work

Answer 1

It's only interesting if you restrict x,y,z to positive integers, so...

3,3,3

or

2,3,6.

Edit: Oh right, there is another solution, isn't there?  Slipped by me, sneaky thing.

Answer 2

3,3,3

2,3,6

4,4,2

Answer 3

1/x + 1/y + 1/z = 1 , for your ease flip all the fractions before and after the = sign like that:

x/1 + y/1 + z/1 = 1/1 or 1

This tells us that x+y+z should equal to 1 so regarding the equation given in the question the answers are:

x=3

y=3

z=3

good luck!