Write an augmented matrix for the following system of equations. \[ \begin{array}{rr} 9 x-7 y+5 z= & -7 \\ 3 x-6 y+2 z= & 6 \\ 7 y-5 z= & -9 \end{array} \] The entries in the matrix are: \[ \left[\begin{array}{ccc|c} \square & \square & \square & \square \\ \square & \square & \square & \square \\ \square & \square & \square & \square \end{array}\right] \]

To create the augmented matrix for the given system of equations, we will extract the coefficients of the variables and the constants from the right-hand side of the equations. The system of equations is: 1. \(9x - 7y + 5z = -7\) 2. \(3x - 6y + 2z = 6\) 3. \(0x + 7y - 5z = -9\) (since there is no \(x\) term in the third equation) Now, we will form the augmented matrix: \[ \left[\begin{array}{ccc|c} 9 & -7 & 5 & -7 \\ 3 & -6 & 2 & 6 \\ 0 & 7 & -5 & -9 \end{array}\right] \]