The MuPAD solver

To solve this, we first compute a Groebner basis:✓>> bas:= groebner::gbasis(sys, LexOrder)✏2 4 3 2[poly(2 x + x - 2 y + 4 y + y - 3 y + 1, [x, y]),4 3 2poly(x y - x - 4 y + 6 y + 7 y - 5 y - 4, [x, y]),✒5 4 3 2poly(2 y - 2 y - 5 y + y + 3 y + 1, [x, y])]✑Remark:It is known that Groebner bases with respect to lexikographicalorder are difficult to compute. Therefore, MuPAD proceeds asfollows: it first computes a Groebner basis with respect to adegree ordering (DegInvLexOrder) and applies a Groebner basiscomputation w.r.t. LexOrder to the result.The Open Computer Algebra System 10