4 of the questions remain unanswered.(1 point) (Note: This problem has several parts. The latter parts will not appear until after the earlier parts are completed correctly.)Solve the following system of linear equations:5x +23y +3w16226+12x +55y +38z627wWhich one of the following statements best describes your solution:A. There is no solution.B. There is a unique solution.C. There are 4 solutions.D. There are infinitely many solutions with one arbitrary parameter.E. There are infinitely many solutions with two arbitrary parameters.F. There are infinitely many solutions with three arbitrary parameters.Statement:esolution below. If a variable is an arbitrary parameter in your solution, then set it equal to itself, e.g., w =Enterw.yourC=y=z =Note: You can earn partial credit on this problem.Nata Thic nrahlom baro thanotElarchWaaaan

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Asked Oct 31, 2019
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If the variable is an arbitrary parameter in your solution, then set it equal to itself, e.g., w = w

 

please do they now

4 of the questions remain unanswered.
(1 point) (Note: This problem has several parts. The latter parts will not appear until after the earlier parts are completed correctly.)
Solve the following system of linear equations:
5x +23y +
3w
162
26
+12x +55y +38z
62
7w
Which one of the following statements best describes your solution:
A. There is no solution.
B. There is a unique solution.
C. There are 4 solutions.
D. There are infinitely many solutions with one arbitrary parameter.
E. There are infinitely many solutions with two arbitrary parameters.
F. There are infinitely many solutions with three arbitrary parameters.
Statement:
e
solution below. If a variable is an arbitrary parameter in your solution, then set it equal to itself, e.g., w =
Enter
w.
your
C=
y=
z =
Note: You can earn partial credit on this problem.
Nata Thic nrahlom ba
ro thano
t
El
arch
W
aa
aan
help_outline

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4 of the questions remain unanswered. (1 point) (Note: This problem has several parts. The latter parts will not appear until after the earlier parts are completed correctly.) Solve the following system of linear equations: 5x +23y + 3w 162 26 +12x +55y +38z 62 7w Which one of the following statements best describes your solution: A. There is no solution. B. There is a unique solution. C. There are 4 solutions. D. There are infinitely many solutions with one arbitrary parameter. E. There are infinitely many solutions with two arbitrary parameters. F. There are infinitely many solutions with three arbitrary parameters. Statement: e solution below. If a variable is an arbitrary parameter in your solution, then set it equal to itself, e.g., w = Enter w. your C= y= z = Note: You can earn partial credit on this problem. Nata Thic nrahlom ba ro thano t El arch W aa aan

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Expert Answer

Step 1

The problem concerns finding solutions (if any, and the number of such solutions) for 2 equations in 4 unknowns , 

Step 2

There are 2 equations , which are independent (one is not a multiple of the other). so , they are definitley consistent; To findi all the solutions, proceed as shown. Observe t...

Re write
3w+5x 26-23y-16 ()
7w+12x-62-55y-38z (2)
12x (1) 36w60x = 312-276y-192-
(3)
5x (2): 35w+60x= 310-275y -190
(4)
Subtract to get
w 2-y2:(5).(5) and (1) give
x 4-4 (6)
help_outline

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Re write 3w+5x 26-23y-16 () 7w+12x-62-55y-38z (2) 12x (1) 36w60x = 312-276y-192- (3) 5x (2): 35w+60x= 310-275y -190 (4) Subtract to get w 2-y2:(5).(5) and (1) give x 4-4 (6)

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