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I was given two equations back in my school days to solve for both x and y it is as follows

x^y = y^x & x+y = 6

Now it can be seen that following would be possible solutions (x=4,y=2),(x=3,y=3),(x=2,y=4).

But is there any deductive way to solve this ?

Regards,

Arka

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# Solve for x,y

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