Finding small equation solutions with great precision with Solvesys and Longfloat

[John Keith]

Good news: It turns out that the built-in command MSLV does what you want. If you enter the equations as in post #2 of your link and enter [1 1] as initial guesses, the correct results are returned. Still only 12-digit accuracy though, MSLV does not seem able to find an exact solution in this case.