2x + 3y - 5z = 74x - 6y + 10z = 143x + 2y - 4z = 1
(a) Write the augmented matrix for this system of equations.
(b) Use elementary row operations to reduce the augmented matrix to row-echelon form.
(c) Write the system of equations corresponding to the row-echelon form of the augmented matrix.
(d) Determine the solution set of the system of equations.
