In Problems 37-72, solve each system of equations using malrices (row operations). If the system has no solution, say that it is inconsistent.
$\left\{\begin{array}{rr}x+y+z+w= & 4 \\ 2 x-y+z= & 0 \\ 3 x+2 y+z-w= & 6 \\ x-2 y-2 z+2 w=-1\end{array}\right.$