Please solve all questions

Solve the following systems of equations using the Gaussian elimination - Agumented matrix method. Be sure to verify your solutions explicity when that is possible.

(a) 6x - 6y + 2z = 92 --> -3x + 4y - 7z = -24 --> 4x - 6y - 8z = 124

(b) 5x + 7y + 4z = 27 --> -3x + 7y - z = 86 --> x - 21y - 2z = -199

(c) 10x + y + 9z = 119 --> 2x + 6y + 5z = 14 --> 14x - 16y + 3z = 100