[Maxima] solve x^a*y^b-c*x-d*y

[Mixon, Wilson]

I apologize for sending this message earlier without a subject line.


I often use this function for illustration:
z: x^a*y^b - c*x - d*y;

Maxima will not provide the solution requested below.
[Dx,Dy] : [diff(z,x),diff(z,y)];
solve([Dx,Dy],[x,y]);

I can solve the system in a few steps, as below.
declare(a,noninteger)$ assume(a>0,b>0,c>0,d>0,x>0,y>0)$
solve(Dx/Dy, x); subst(rhs(%[1]), x, Dy);
solve(%,y);
/*and so forth*/

Does Maxima offer a way for me to tell solve( ) enough for it to return a solution?