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Question Number 7075 by Tawakalitu. last updated on 09/Aug/16

Find all the solution for x and y in the equation    x^y  + y^x  = 17    ........ equation (i)  x + y = 5      ......... equation (ii)

$${Find}\:{all}\:{the}\:{solution}\:{for}\:{x}\:{and}\:{y}\:{in}\:{the}\:{equation} \\ $$$$ \\ $$$${x}^{{y}} \:+\:{y}^{{x}} \:=\:\mathrm{17}\:\:\:\:........\:{equation}\:\left({i}\right) \\ $$$${x}\:+\:{y}\:=\:\mathrm{5}\:\:\:\:\:\:.........\:{equation}\:\left({ii}\right) \\ $$

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