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

Use Gauss-Jordan row reduction to solve the given system of equations. $$\begin{array} { r } x + y + z + u + v = 13 \\y + z + u + v = 3 \\x + 2 y + 2 z + 2 u + 2 v = 16 \\x - y - z - z + 16 \\x - 2 y - 2 z - 2 u - 2 v = 4\end{array}$$

A) $( 8,4 - z - u - v , z , u , v )$ , z, u, v arbitrary
B) $( 9,3 - z - u - v , z , u , v )$ , z, u, v arbitrary
C) $( 10,3 - z - u - v , z , u , v )$ , z, u, v arbitrary
D) $( 6,3 - z - u - v , z , u , v )$ , z, u, v arbitrary
E) $( 13,4 - z - u - v , z , u , v )$ , z, u, v arbitrary

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