Hello

I have a system of 3 equations and 3 variables (a,b,L) which depends on 2 parameters (c,g). Hence I need three expressions who relate them (i.e. a(c,g), b(c,g) and L(c,g) ). I just started trying Mathematica so i am not sure I am proceeding in the best possible way to solve the system:

eqns = {(3 Pi*a*c*L) + 
    g*a*b^0.5 + (3/8)*(a^2 + b^2 + 4*a*b) + 99.53*b + 24.13*a == 0, 
  1/L + L*c*Pi - g*b^0.5 + 1 - (3/4)*(a + 2*b) == 0, 
  8/L - 2*b + g*a*b^0.5 + 3/8*(4*b^2 + 8*a*b) == 0}

SolveAlways[eqns, {a, b, L}]

I am getting no output from Mathematica. Is there a better way to solve this system?

Thanks in advance,

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