SOLUTION: Find all the sets of numbers x, y and z such that 1/x + 1/y + 1/z = 1.

Question 277580: Find all the sets of numbers x, y and z such that 1/x + 1/y + 1/z = 1.
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
1 and 3
sry i ran out of time at work just now got back to a computer but if u look at the problem theres only a few possiblilities to = 1, so if 1=x 1=y 1=z then if 3=x 3=y 3=z then if u try any other number like 4 doesnt equal 1 if they were different numbers say 2=x 3=y 4=z not 1
so just by looking at the problem I came to the 1 and 3 since those are the only logical answers for x,y,z so x=(1,3) y=(1,3) z=(1,3)

RELATED QUESTIONS
Let x, y, and z be nonzero real numbers, such that no two are equal, and x + {1}/{y} = y (answered by CubeyThePenguin,ikleyn)

For positive real numbers x, y, and z such that 3x = y(sqrt2)/3 = z(sqrt2)/3.1, which of... (answered by CubeyThePenguin)

Find all values of z such that:... (answered by Fombitz)

Question 842987: Find all values of z such that:... (answered by ewatrrr)

What are all ordered triples of numbers (x, y, z) which satisfy the system of equations (answered by KMST)

find y in the equation 1/y = 1/x + 1/z x=3, and... (answered by edjones)

Let x and y be nonzero, real numbers such that -1 < x < 1 and -2 < y < 2. Suppose x/y +... (answered by richard1234)

Find all complex numbers z such that |z - 1| = |z + 3| + |z - 2i|. (answered by CPhill,ikleyn)

If x, y and z are real numbers, show that √ x -1 y . √ y -1 z . √z -1... (answered by Edwin McCravy)