Solve the system of equations using the inverse of the coefficient matrix of the equivalent matrix equation. X- y+ Z= 0 2y - Z= 6 4x + 3y = 21 . . . Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The solution is x = , y= , and z= . (Simplify your answers.) O B. There are infinitely many solutions. The solutions are of the form x = , y= and z = r, where r is any real number. (Simplify your answers. Type expressions using r as the variable. Do not factor.) O C. There are infinitely many solutions. The solutions are of the form x = , y=r, and z = s, where r and s are any real numbers. (Simplify your answer. Type an expression using r and s as the variables. Do not factor.) O D. There is no solution.\fSolve the following problems by using the inverse of the matrix involved. 1 (a) An automobile factory produces two models, A and B. Model A requires 3 labor hour to paint and 1 labor hour to polish; model B requires 1 labor hour for each process. During each hour that the assembly line is operating, there are 60 labor hours available for painting and 70 labor hours for polishing. How many of each model can be produced each hour if all the labor hours available are to be utilized? (b) Suppose each model A requires 10 widgets and 14 shims and each model B requires 7 widgets and 10 shims. The factory can obtain 830 widgets and 1170 shims each hour. How many cars of each model can it produce while using all the parts available? (a) Model A: D Model B: D