Answers must be correct. Or else it will be flagged. All of these sub parts need

Question

Answers must be correct. Or else it will be flagged. All of these sub parts need to be answered with step by step process showing all work and reasoning.

Answers must be correct. Or else it will be flagged. All of these sub parts need to be answered with step by step process showing all work and reasoning.

Solve the system using matrices (row operations) 4x+4y + 3z -x + 2y +2z 2x+y+2z =25 =17 =9 How many solutions are there to this system? A. None B. Exactly 1 C. Exactly 2 D. Exactly 3 E. Infinitely many F. None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, enter use the parameter t. If there are no solutions, leave the answer blanks for x, y and z empty. y=

Explanation / Answer

Solution:

Augmented matrix for given system of equations

Your matrix

Find the pivot in the 1st column (inversing the sign in the whole row) and swap the 2nd and the 1st rows

Eliminate the 1st column

Make the pivot in the 2nd column by dividing the 2nd row by 12

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by 17/12

Eliminate the 3rd column

Solution set: (B )Exactly 1

answers

x = -1

y = 5

z = 3

X1 X2 X3 b 1 4 4 3 25 2 -1 2 2 17 3 2 1 2 9

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