The complexity of Solve is probably almost as high as the complexity of Reduce. I assume your equations are nonlinear so what you're trying to do is probably NP hard. It would be useful if the documentation for functions gave their complexity.

I believe MIchael Trott's book "The Mathematica Guide to Symbolics" says that Reduce is double exponential in complexity. That's why it is really only useful for problems with several variables.

Do you get output for simple inputs (2+3)?
Does Solve work for tiny examples (Solve[x+1==3,x]) ?
Do the examples in documentation work for you?

Do not put a semicolon after the Solve if you want output.

If none of that helps, please attach a notebook file with inputs and outputs, or lack of outputs.