Solve the system by using matrix reduction. 6w -x-3y +4z = -2 9w -3x-9y +3z = -6 5w -x-3y+3z = -2 6w +x+3y+8z = 2 Find all solutions. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The system has an infinite number of solutions characterized by w= OB. The system has an infinite number of solutions characterized by w = OC. The system has a unique solution. The solution is w= ○ D. The system has no solution. 1 X= . y=r, z=s, ∞

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.5: Multiplication With The Addition-or-subtraction Method
Problem 16WE
Question
Solve the system by using matrix reduction.
6w
-x-3y +4z = -2
9w -3x-9y +3z = -6
5w
-x-3y+3z = -2
6w +x+3y+8z =
2
Find all solutions. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
OA. The system has an infinite number of solutions characterized by w=
OB. The system has an infinite number of solutions characterized by w =
OC. The system has a unique solution. The solution is w=
○ D. The system has no solution.
1
X=
.
y=r, z=s, ∞<r, s<∞.
X=
y=
z=r, - ∞ <r<∞.
X=
' ‚ y=,z=
Transcribed Image Text:Solve the system by using matrix reduction. 6w -x-3y +4z = -2 9w -3x-9y +3z = -6 5w -x-3y+3z = -2 6w +x+3y+8z = 2 Find all solutions. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The system has an infinite number of solutions characterized by w= OB. The system has an infinite number of solutions characterized by w = OC. The system has a unique solution. The solution is w= ○ D. The system has no solution. 1 X= . y=r, z=s, ∞<r, s<∞. X= y= z=r, - ∞ <r<∞. X= ' ‚ y=,z=
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