Use Gauss-Jordan Row Reduction to Solve the Given Systems of Equation

Use Gauss-Jordan row reduction to solve the given systems of equation. $$\begin{array} { l } x - \frac { 1 } { 2 } y = 6 \\\frac { 1 } { 3 } + \frac { 1 } { 3 } y + \frac { 1 } { 3 } z = 4 \\\frac { 1 } { 2 } x \quad - \frac { 1 } { 2 } z = 2 \\\end{array}$$

A) $( 3,7,2 )$
B) $( 2,2,7 )$
C) $( 7,2,3 )$
D) inconsistent
E) dependent

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