We can solve a system of equations over reals using Mathematica as follows.
Solve [x^2+y^2+z^2==1 && x+y==1, {x,y,z}]
How one can solve a system of equations over a finite field like GF(2) using Mathematica?
2026-03-29 03:22:24.1774754544
Solution of a system of equations in a finite field using Mathematica
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Solve[x^2+y^2+z^2==1 && x+y==1, {x,y,z}, Modulus->2]