Use Cramer S Rule to Find the Solution Set for the System

Short Answer

Use Cramer s rule to find the solution set for the system. $$\left( \begin{array} { c l c c c } 4 x - 5 y + z & = & 15 \\- 5 x + y - z & = & - 14 \\x - 4 y - 9 z & = & 25\end{array} \right)$$ If the equations of the system are dependent, or if a system is inconsistent, so indicate. In those cases enter dependent or inconsistent .