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solve-simultanrodly-x-y-5-1-x-y-y-x-17-2-




Question Number 29345 by Victor31926 last updated on 07/Feb/18
solve simultanrodly    x+y=5.....(1)  x^y +y^x =17.....(2)
$$\mathrm{solve}\:\mathrm{simultanrodly} \\ $$$$ \\ $$$$\mathrm{x}+\mathrm{y}=\mathrm{5}…..\left(\mathrm{1}\right) \\ $$$$\mathrm{x}^{\mathrm{y}} +\mathrm{y}^{\mathrm{x}} =\mathrm{17}…..\left(\mathrm{2}\right) \\ $$
Answered by NECx last updated on 08/Feb/18
this can not be solved analytically  but by trial and error  (x,y)=(2,3) or (3,2)
$${this}\:{can}\:{not}\:{be}\:{solved}\:{analytically} \\ $$$${but}\:{by}\:{trial}\:{and}\:{error} \\ $$$$\left({x},{y}\right)=\left(\mathrm{2},\mathrm{3}\right)\:{or}\:\left(\mathrm{3},\mathrm{2}\right) \\ $$
Commented by Victor31926 last updated on 08/Feb/18
ok....thanks.
$$\mathrm{ok}….\mathrm{thanks}. \\ $$

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