Question Number 6666 by Tawakalitu. last updated on 10/Jul/16
$${Solve}\:{the}\:{simultaneous}\:{equation}. \\ $$$$ \\ $$$${x}^{{y}} \:+\:{y}^{{x}} \:=\:\mathrm{17}\:\:\:.............\:{equation}\:\left({i}\right) \\ $$$${x}\:+\:{y}\:=\:\mathrm{5}\:\:\:..................\:{equation}\:\left({ii}\right) \\ $$$$ \\ $$$${Please}\:{help}\:!!! \\ $$
Commented by Yozzii last updated on 10/Jul/16
$${x}=\mathrm{3}\:{and}\:{y}=\mathrm{2}\:{works}\:{as}\:{an}\:{integer}\:{pair} \\ $$$${solution}\:{found}\:{by}\:{trial}\:{and}\:{error}. \\ $$$$\mathrm{3}^{\mathrm{2}} +\mathrm{2}^{\mathrm{3}} =\mathrm{9}+\mathrm{8}=\mathrm{17} \\ $$$${x}+{y}=\mathrm{2}+\mathrm{3}=\mathrm{5} \\ $$