Question Number 5920 by sanusihammed last updated on 05/Jun/16
$${Solove}\:{for}\:{x}\:{and}\:{y} \\ $$$$ \\ $$$$\mathrm{2}^{{x}} \:+\:\mathrm{3}^{{y}} \:=\:\mathrm{31}\:\:\:............\:{eauation}\:\left({i}\right) \\ $$$$\mathrm{3}^{{x}} \:+\:\mathrm{2}^{{y}\:} \:=\:\mathrm{17}\:\:............\:{equation}\:\left({ii}\right) \\ $$$$ \\ $$$${please}\:{help}. \\ $$$$ \\ $$
Commented by FilupSmith last updated on 05/Jun/16
$$\mathrm{2}^{{x}} +\mathrm{3}^{{y}} −\mathrm{31}=\mathrm{3}^{{x}} +\mathrm{2}^{{y}} −\mathrm{17} \\ $$$$\mathrm{2}^{{x}} −\mathrm{2}^{{y}} +\mathrm{3}^{{y}} −\mathrm{3}^{{x}} =\mathrm{14} \\ $$$$\mathrm{2}^{{x}} −\mathrm{3}^{{x}} −\mathrm{2}^{{y}} +\mathrm{3}^{{y}} =\mathrm{14} \\ $$