(Solved): 11 point) The following system has an ininite number of solutions. Form an augmented matrix, then w ...

11 point) The following system has an ininite number of solutions. Form an augmented matrix, then write the matrix in the reduced form. White the reduced foof the matrix below and then write the solution in terms of \( z \). \[ \begin{array}{l} 1 x+1 y+4 z=3 \\ 2 x-2 y+3 z=2 \\ 3 x-1 y+7 z=5 \end{array} \] The required augmented matrix is: \[ \left(\begin{array}{lll|l} a_{11} & a_{12} & a_{13} & b_{1} \\ a_{21} & a_{22} & a_{21} & b_{2} \\ a_{31} & a_{32} & a_{33} & b_{3} \end{array}\right), \] where (1 point) Determine the value of \( h \) such that the matrix is the augmented matrix of a consistent linear system. \[ \left[\begin{array}{rr|r} 5 & -2 & h \\ -20 & 8 & 8 \end{array}\right] \] \[ h= \] You have attempted this problem 0 times. You have 8 attempts remaining.