Find a single solution to a system of equations

*To*: mathgroup at smc.vnet.net*Subject*: [mg121833] Find a single solution to a system of equations*From*: "jamievicary at NgOmSaPiAlM.com" <jamievicary at gmail.com>*Date*: Tue, 4 Oct 2011 01:32:42 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Hi, I have a system of equations, and want to use Mathematica to find a single solution. It's no good using Solve, because then Mathematica tries to find all solutions, and that takes too long. It's no good containing FindInstance, because my equations contain unknowns. To illustrate this last point, consider the input FindInstance[a==b,a] I want Mathematica to return to me the solution {{a->b}} but it doesn't -- it fails, because FindInstance can't cope with independent variables in the expression. So, I either need a watered-down Solve, that doesn't try to find every solution, or a beefed-up FindInstance, that doesn't mind about the independent variables. Thanks! Jamie.