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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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