(1 point) Solve the system by finding the reduced row-echelon form of the augmented matrix. cty - 32 = 3 -xty+z = 3 x + 2y - 42 : 6 reduced row-echelon form: How many solutions are there to this system? O A. None OB. Exactly 1 O C. Exactly 2 O D. Exactly 3 OE. Infinitely many OF. None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, enter z in the answer blank for z, enter a formula for y in terms of z in the answer blank for y and enter a formula for a in terms of z in the answer blank for . If there are no solutions, leave the answer blanks for , y and z empty. C= y =(1 point) Each graph below is the graph of a system of three linear equations in three unknowns of the form AZ = 6. Determine whether each system has a solution and, if it does, the number of free variables. A. choose B. choose V C. choose choose no solution 0 free variables 1 free variable 2 free variables D. choose V E. choose F. choose v G. choose v H. choose V I. choose V (Click on a graph to enlarge it.)(1 point) Solve = - y + Z - m y + 2z + W = - Z + W = - 5w = - x + 2y 3z + . W= .y = -1(1 point) The reduced row-echelon forms of the augmented matrices of four systems are given below. How many solutions does each system have? 1 0 0 1 8 A. Infinitely many solutions OB. No solutions O C. Unique solution O D. None of the above 0 0 0 0 1 0 0 O A. Unique solution O B. No solutions O C. Infinitely many solutions O D. None of the above 01 0 - A. Unique solution OB. No solutions O C. Infinitely many solutions O D. None of the above O A. No solutions OB. Unique solution OC. Infinitely many solutions O D. None of the above(1 point) Consider a linear system whose augmented matrix is 1 1 5 3 2 ,2 2 2 8 k 25 For what value of I: will the system have no solutions? 13