Thread: 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.

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x 1/y=y 1/z=z 1/x => |xyz|

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