# Le Monde puzzle [#1106]

A linear equation as Le Monde mathematical puzzle:

Find the ten integers x¹,x²,…. such that Ax=3x-1 where

$A=\left[\begin{matrix} 0& 1& 1& 1& 0& 0& 0& 0& 0& 0\\ 1& 0& 0& 0& 1& 1& 0& 0& 0& 0\\ 1& 0& 0& 1& 0& 0& 1& 0& 0& 0\\ 1& 0& 1& 0& 1& 0& 0& 0& 0& 0\\ 0& 1& 0& 1& 0& 1& 0& 0& 0& 0\\ 0& 1& 0& 0& 1& 0& 0& 0& 1& 1\\ 0& 0& 1& 0& 0& 0& 0& 1& 0& 0\\ 0& 0& 0& 0& 0& 0& 1& 0& 1& 0\\ 0& 0& 0& 0& 0& 1& 0& 1& 0& 1\\ 0& 0& 0& 0& 0& 1& 0& 0& 1& 0\\ \end{matrix}\right]$

Which returns 38 44 31 38 44 49 16 16 31 27 as its solution and is definitely of limited appeal…