A.\(\left\{ \begin{array}{l}x = 1 + 3t\\y = 3t\\z = 1 - t\end{array} \right.\).
B.\(\left\{ \begin{array}{l}x = 1 + t\\y = 3t\\z = 1 - t\end{array} \right.\).
C.\(\left\{ \begin{array}{l}x = 1 + t\\y = 1 + 3t\\z = 1 - t\end{array} \right.\)
D.\(\left\{ \begin{array}{l}x = 1 + 3t\\y = 3t\\z = 1 + t\end{array} \right.\)