(Solved): Find the general solution of the system whose augmented matrix is given below. Find the general solu ...

Find the general solution of the system whose augmented matrix is given below. \[ \left[\begin{array}{rrrrrr} 1 & -7 & 0 & -1 & 0 & -4 \\ 0 & 1 & 0 & 0 & -5 & 7 \\ 0 & 0 & 0 & 1 & 6 & 7 \\ 0 & 0 & 0 & 0 & 0 & 0 \end{array}\right] \] Select the correct choice below and, if necessary, fill in the answer boxes to complete your answer. A. B. \( \left\{\begin{array}{l}x_{1}= \\ x_{2}= \\ x_{3} \text { is free } \\ x_{4}= \\ x_{5} \text { is free }\end{array}\right. \) \( \left\{\begin{array}{l}x_{1}= \\ x_{2}= \\ x_{3} \text { is tree } \\ x_{4}= \\ x_{5}=\end{array}\right. \) c. \( \left\{\begin{array}{l}x_{1}= \\ x_{2} \text { is free }\end{array}\right. \) \( \left\{\begin{array}{l}x_{3}= \\ x_{4} \text { is free }\end{array}\right. \) \( x_{5} \) is free