00O ATT LTE 833 PM mathmcneeseedu 26 E Previous Problem List

00O AT&T; LTE 8:33 PM math.mcneese.edu 26% E Previous Problem List Next (1 point) Solve the system by finding the reduced row-echelon form of the augmented matrix -x + 3y + 11z -3x + 2y+ 5z =-7 = 7 reduced row-echelon form: 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 z in the answer blank for z, enter a formula for y in

Solution

This reduced row echelon form.

x+z = -5

x = -5-z

y+4z = -4

y=-4-4z

x = -5-z

y=-4-4z

z=z

there is infinite many solutions.

-1	3	11	:	-7
-3	2	5	:	7
R1 = -R1
1	-3	-11	:	7
-3	2	5	:	7
R2 = R2 + 3R1
1	-3	-11	:	7
0	-7	-28	:	28
R2 = R2/-7
1	-3	-11	:	7
0	1	4	:	-4
R1 = R1+3R2
1	0	1	:	-5
0	1	4	:	-4