Given the system

$\displaystyle {\left\lbrace\begin{array}{c} {4}{x}+{15}{y}-{91}{z}={25}\\{14}{y}-{70}{z}=-{8}\\{x}+{4}{y}-{24}{z}={6}\end{array}\right.}$

(a) determine whether the system is inconsistent or dependent: Select an answer inconsistent dependent
(b) if your answer is dependent in (a), find the complete solution, and write $\displaystyle {x}$ and $\displaystyle {y}$ as functions of $\displaystyle {z}$. If your answer is inconsistent in (a), write $\displaystyle {D}{N}{E}$ for both $\displaystyle {x}$ and $\displaystyle {y}$
$\displaystyle {x}=$ Preview Question 6 Part 2 of 3  
$\displaystyle {y}=$ Preview Question 6 Part 3 of 3