(Solved): How many solutions does the system of linear equations corresponding to the augmented matrix shown ...

How many solutions does the system of linear equations corresponding to the augmented matrix shown below have? \[ \left[\begin{array}{lllll|l} 1 & -1 & 1 & 1 & 3 & 5 \\ 2 & -2 & 2 & 3 & 4 & 2 \\ 3 & -3 & 4 & 1 & 2 & 4 \end{array}\right] \] A. no solutions B. a three-parameter family of solutions C. exactly one solution D. a one-parameter family of solutions E. a two-parameter family of solutions