I want solution of x and y which should be positive real numbers
Solve[2*(1 - a)*((x)^-n) + 2*a*((y)^-n) - 1 ==
0 && (1 - a)*((x)^(1 - n)) + a*((y)^(1 - n)) - 1 == 0 , {x, y}]
During evaluation of In[2]:= Solve::ifun: Inverse functions are being used by Solve, so some solutions may not be found; use Reduce for complete solution information. >>
During evaluation of In[2]:= Solve::svars: Equations may not give solutions for all "solve" variables. >>
Out[2]= {{y -> 2^(1/n) ((a x^n)/(-2 + 2 a + x^n))^(1/n)}}
*Supppose now I plug in certain numeric values n=0.3 a=0.6, it still can't solve it .
NSolve[2*(1 - 0.6)*((x)^-0.3) + 2*0.6*((y)^-0.3) - 1 ==
0 && (1 - 0.6)*((x)^(1 - 0.3)) + 0.6*((y)^(1 - 0.3)) - 1 == 0, {x,
y}, Reals]
NSolve::ratnz: NSolve was unable to solve the system with inexact coefficients. The answer was obtained by solving a corresponding exact system and numericizing the result. >>