MathDB

Let

a_{ij}

be nonnegative integers such that a_{ij}\equal{}0 if and only if

i>j

and that \displaystyle\sum_{j\equal{}1}^{1988}a_{ij}\equal{}1988 holds for all i\equal{}1,...,1988. Find all real solutions of the system of equations: \displaystyle\sum_{j\equal{}1}^{1988} (1\plus{}a_{ij})x_j\equal{}i\plus{}1, 1 \le i \le 1988.

Problem Statement