Solve the system by using matrix reduction.w+ x- y- 5z = - 32w + 3x + 2y + 10z = 102w + x+2y + 2z = 2Select the correct choice below and fill in any answer boxes to complete your choice.O A. The unique solution is w =X =%3Dand z =(Simplify your answers.)O B. The system has infinitely many solutions. The solutions are of the form w =(Simplify your answers. Type expressions using r as the variable. Do not factor.)X:and z =r, where r is any real number.O C. The system has infinitely many solutions. The solutions are of the form w =(Simplify your answers. Type expressions using r and s as the variables. Do not factor.).y =r, and z = s, where r and s are any real numbers.O D. The system has infinitely many solutions. The solutions are of the form w =(Simplify your answer. Type an expression using r, s, and t as tO E. There is no solution.x = r, y = s, and z = t, wherer, s, and t are any real numbers.variables. Do not factor.)

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Solve the system by using matrix reduction. w+ x- y- 5z = - 3 2w + 3x + 2y + 10z = 10 2w + x+2y + 2z = 2 Select the correct choice below and fill in any answer boxes to complete your choice. O A. The unique solution is w = %3D and z = (Simplify your answers.) O B. The system has infinitely many solutions. The solutions are of the form w = and z =r, where r is any real number. X: (Simplify your answers. Type expressions using r as the variable. Do not factor.) O C. The system has infinitely many solutions. The solutions are of the form w = (Simplify your answers. Type expressions using r and s as the variables. Do not factor.) ,%3D .y =r, and z = s, where r and s are any real numbers. O D. The system has infinitely many solutions. The solutions are of the form w = (Simplify your answer. Type an expression using r, s, and t as t O E. There is no solution. x = r, y = s, and z = t, wherer, s, and t are any real numbers. variables. Do not factor.)