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3 eqns 3 unknws

  • To: mathgroup at smc.vnet.net
  • Subject: [mg40930] 3 eqns 3 unknws
  • From: Richard Cochinos <richard at theory.org>
  • Date: Thu, 24 Apr 2003 05:30:15 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

I cant seem to get mathematica to solve a set of algebraic equations, any
suggestion? I'm looking for x,y,z ; p,r,w,d are all constants.

"In[1]:=Solve[{a*P*A*x^(a - 1)*y^b*z^c == r, b*P*A*x^a*y^(b - 1)*z^c == w,
    c*P*A*x^a*y^b*z^(c - 1) == D/(z^2)}, {x, y, z}]

Solve::"tdep": "The equations appear to involve the variables to be solved
for in an essentially non-algebraic way."

Out[1]:= \!\(Solve[{a\ A\ P\ x\^\(\(-1\) + a\)\ y\^b\ z\^c == r,
      A\ b\ P\ x\^a\ y\^\(\(-1\) + b\)\ z\^c == w,
      A\ c\ P\ x\^a\ y\^b\ z\^\(\(-1\) + c\) == D\/z\^2}, {x, y, z}]\)"

Well, the last part doesn\t translate to text proper, but it just
reitterates the equations.

 r.j.c.//richard at theory.org



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