ILL 1967 Problem 7

Find all real solutions of the system of equations: $\sum^n_{k=1} x^i_k = a^i$ for $i = 1,2, \ldots, n.$

Dataset text AoPS wiki problems. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.