2 Equations & 3 Unknowns | BRAINSTELLAR

general puzzles


I guessed 3 natural numbers - x,y,zx, y, z. You can ask me 2 sums of these numbers with any integer coefficients - (a,b,c)(a, b, c). That is, you give me a, b and c and I tell you the result of the expression ax+by+cza*x+b*y+c*z. Seeing the answer, you then give me the 2nd triplet of (a,b,c)(a,b,c) & I will tell ax+by+cza*x+b*y+c*z. Give me the algorithm to find xx, yy and zz.