Use Gauss-Jordan Row Reduction to Solve the Given System of Equations

Use Gauss-Jordan row reduction to solve the given system of equations. $$\begin{array} { l } x - 2 y + z - 4 w = 5 \\x + 3 y + 7 z + 2 w = 3 \\2 x + y + 8 z - 2 w = 8\end{array}$$

A) $\left( \frac { 1 } { 5 } ( 20 - 17 z + 8 w ) , \frac { 1 } { 5 } ( - 5 - 6 z - 6 w ) , z , w \right)$ , z, w arbitrary

B) $\left( \frac { 1 } { 5 } ( 21 - 17 z + 8 w ) , \frac { 12 } { 5 } ( - 3 - 6 z - 6 w ) , z , w \right)$ , z, w arbitrary

C) $\left( \frac { 1 } { 5 } ( 21 - 17 z + 8 w ) , \frac { 1 } { 5 } ( - 3 - 6 z - 6 w ) , z , w \right)$ , z, w arbitrary

D) $\left( \frac { 1 } { 5 } ( 20 - 17 z + 8 w ) , \frac { 1 } { 5 } ( - 2 - 6 z - 6 w ) , z , w \right)$ , z, w arbitrary

E) $\left( \frac { 1 } { 5 } ( 21 - 17 z + 8 w ) , \frac { 1 } { 5 } ( - 2 - 6 z - 6 w ) , z , w \right)$ , z, w arbitrary