Given the augmented matrix below, determine if the associated system of equations is independent, dependent, or inconsistent. $$\displaystyle\left[\begin{array}{cccc} -6 &1 &-6 &5 \cr 4 &6 &4 &6 \cr -2 &2 &-2 &4 \cr 5 &1 &-6 &1 \cr \end{array}\right] \displaystyle\left[\begin{array}{c} -5 \cr 16 \cr 6 \cr 7 \cr \end{array}\right]$$
The system is .