IMO 1988 LL KOR53

Let x = p, y = q, z = r, w = s be the unique solution of the

imolonglistmathematicsolympiad

IMO 1988 LL KOR53

Origin: KOR

Problem

Let x = p, y = q, z = r, w = s be the unique solution of the system of linear equations x + aiy + a2 i z + a3 i w = a4 i , i = 1, 2, 3, 4. Express the solution of the following system in terms of p, q, r, and s: x + a2 i y + a4 i z + a6 i w = a8 i , i = 1, 2, 3, 4. Assume the uniqueness of the solution.