# Math Help - Given x+(1/y)= y + (1/z) = z+ (1/x). Prove x=y=z.

1. ## Given x+(1/y)= y + (1/z) = z+ (1/x). Prove x=y=z.

This is a simple math problem. I do remember solving these in grade 9. forgot all the formulas so don't even know where to start.

x+(1/y)= y + (1/z) = z+ (1/x)

Prove x=y=z

This is kind of urgent. Millions of thanks in advance

2. ## First step

Originally Posted by CrypticVoid
This is a simple math problem. I do remember solving these in grade 9. forgot all the formulas so don't even know where to start.

x+(1/y)= y + (1/z) = z+ (1/x)

Prove x=y=z

I would start by multiplying through by xyz to remove the fractions.

This is kind of urgent. Millions of thanks in advance
I would start by multiplying through by xyz to remove the fractions.