Question Number 41828 by 123456780 last updated on 13/Aug/18
$$\begin{cases}{\frac{{y}^{{y}} }{{x}}+\frac{{x}^{{x}} }{{y}}=\mathrm{129}}\\{{x}^{{y}} +{y}^{{x}} =\mathrm{32}}\end{cases} \\ $$$${find}\:{x}\:{and}\:{y}? \\ $$$$\:{by}\:{k}.{khaled} \\ $$
Answered by MJS last updated on 13/Aug/18
$$\mathrm{we}\:\mathrm{can}\:\mathrm{only}\:\mathrm{try}... \\ $$$$\mathrm{found}\:\left({x},\:{y}\right)\in\left\{\left(\mathrm{2},\:\mathrm{4}\right),\:\left(\mathrm{4},\:\mathrm{2}\right)\right\} \\ $$