Q-161744-reposted-with-some-change-Solve-for-integer-numbers-x-y-5-x-y-5-5-y-x-y-5-5-y-5-x-

Question Number 161843 by Rasheed.Sindhi last updated on 23/Dec/21

You can't use 'macro parameter character #' in math mode

Solve for integer numbers :

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

Commented by malwan last updated on 23/Dec/21

x = 0 o r x = 5

t h e n w e h a v e o n e e q u a t i o n

a n d o n e v a r i a b l e y

Commented by Rasheed.Sindhi last updated on 23/Dec/21

x \neq 0 b e c a u s e {i t}^{'} s i n d e n o m i n a t o r .

You can't use 'macro parameter character #' in math mode

Commented by mr W last updated on 23/Dec/21

x \neq 0, x \neq - 5, y \neq 0, y \neq - 5

w e c a n s e e x, y c o u l d (b u t n o t m u s t)

b e m u l t i p l e s o f 5, t h e n w e c a n g e t

f o l l w i n g s o l u t i o n s :

(5, 5)

(5, 10)

(- 10, 5)

b u t {i t}^{'} s n o t e a s y t o p r o v e t h a t o t h e r

(n o t m u l t i p l e s o f 5) s o l u t i o n s {d o n}^{'} t

e x i s t .

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