prove-that-x-y-1-x-y-

Question Number 195038 by sciencestudentW last updated on 22/Jul/23

p r o v e t h a t x + y = \frac{1}{x - y}

Commented by Frix last updated on 22/Jul/23

{It}^{'} s wrong, i . e . x = 2 \land y = 3 \Rightarrow

x + y = 5 but \frac{1}{x - y} = - 1

You can solve for x or y

x + y = \frac{1}{x - y} \Rightarrow x \neq y

(x + y) (x - y) = 1

x^{2} - y^{2} = 1

x = \pm \sqrt{y^{2} + 1}

y = \pm \sqrt{x^{2} - 1}

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