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. $$\left( \begin{array} { r l } 4 x - y + 5 z & = 31 \\5 y + z & = 23 \\x - 4 y - z & = - 14\end{array} \right)$$ If the equations of the system are dependent, or if a system is inconsistent, so indicate. In those cases enter dependent or inconsistent .