The matrix below is an augmented matrix for a system of thre

The matrix below is an augmented matrix for a system of three linear equations. What can be concluded about the solution of the system? [1 0 4 | -5 0 1 0 | 3 0 0 0 | 1] The unique solution of the system is (-5, 3, 1). There are infinitely many solutions. The solutions are (-5 - 4t, 3, t) for all real numbers t. There are infinitely many solutions. The solutions are (-5 + 4t, 3, t) for all real numbers t. The system is inconsistent; there is no solution.

Solution

x+4z=-5

y=3

The given system is inconsistent and there is no solution.Correct option is d