Solve[{0.4x_1^{-0.6} x_2^{0.6}-2a=0,0.6x_1^{0.4} x_2^{-0.4}-4a=0,60-2x_1-4x_2=0}]

Uh oh! Wolfram|Alpha doesn't run without JavaScript.

Please enable JavaScript. If you don't know how, you can find instructionshere.Once you've done that, refresh this page to start using Wolfram|Alpha.