Solve the system of equations using matrices (row operations). 3z- 3w = - 4 X+ y+ z+ 3w= -1 2x + y- 2z - 2w = -5 3x + 2y - z+ w= - 6 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. O A. The solution is x=y = z and w = (Simplify your answers.) = O B. The system has infinitely many solutions. The solution is x = .y= z=z, and w = (Simplify your answers. Type expressions using z as the variable.) O C. The system has infinitely many solutions. The solution is x = (Simplify your answers. Type expressions using y and z as the variables.) y%3Dy, z=z, and w = O D. There is no solution.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CT: Chapter Test
Problem 9CT
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Solve the system of equations using matrices (row operations).
3z- 3w= - 4
x+ y+ z + 3w = - 1
2x + y- 2z - 2w= -5
3x + 2y - z+
w= - 6
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
O A. The solution is x= .y = z=.
and w = (Simplify your answers.)
>
O B. The system has infinitely many solutions. The solution is x =
y=
Z=z, and w =
(Simplify your answers. Type expressions using z as the variable.)
O C. The system has infinitely many solutions. The solution is x =
(Simplify your answers. Type expressions using y and z as the variables.)
y=y, z=z, and w =
O D. There is no solution.
Transcribed Image Text:Solve the system of equations using matrices (row operations). 3z- 3w= - 4 x+ y+ z + 3w = - 1 2x + y- 2z - 2w= -5 3x + 2y - z+ w= - 6 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. O A. The solution is x= .y = z=. and w = (Simplify your answers.) > O B. The system has infinitely many solutions. The solution is x = y= Z=z, and w = (Simplify your answers. Type expressions using z as the variable.) O C. The system has infinitely many solutions. The solution is x = (Simplify your answers. Type expressions using y and z as the variables.) y=y, z=z, and w = O D. There is no solution.
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