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Solve the system. If there is no solution or if there are infinitely many solutions and the system's equations are dependent, so state.8x y +2z = -303X + 2y -Z=42x + 2y-3zSelect the correct choice below and fill in any answer boxes within your choice.O A. There is one solution. The solution set is {((Simplify your answers.)OB. There are infinitely many solutions.O C. There is no solutionntessessClick to salect and anter your answerls) and then elick Check AnsirerLibriAll parts showwingideebe here to searchChpHEWL E TTP ACKARDfo14416fef4fshotnIOl&45

Question
Solve the system. If there is no solution or if there are infinitely many solutions and the system's equations are dependent, so state.
8x y +2z = -30
3
X + 2y -Z=
4
2x + 2y-3z
Select the correct choice below and fill in any answer boxes within your choice.
O A. There is one solution. The solution set is {(
(Simplify your answers.)
OB. There are infinitely many solutions.
O C. There is no solution
nt
ess
ess
Click to salect and anter your answerls) and then elick Check Ansirer
Libri
All parts showwing
ide
e
be here to search
Chp
HEWL E TTP ACKARD
fo
144
16
fe
f4
fs
ho
tn
IOl
&
4
5
help_outline

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Solve the system. If there is no solution or if there are infinitely many solutions and the system's equations are dependent, so state. 8x y +2z = -30 3 X + 2y -Z= 4 2x + 2y-3z Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The solution set is {( (Simplify your answers.) OB. There are infinitely many solutions. O C. There is no solution nt ess ess Click to salect and anter your answerls) and then elick Check Ansirer Libri All parts showwing ide e be here to search Chp HEWL E TTP ACKARD fo 144 16 fe f4 fs ho tn IOl & 4 5

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check_circleAnswer
Step 1

We have been given a system of linear equation in 3 variables that we need to solve.

8х - у + 2z %3D—30
х+2у-z%3
2х+2у-3z %3D 4
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8х - у + 2z %3D—30 х+2у-z%3 2х+2у-3z %3D 4

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Step 2

First we will make the coefficients of variable y equal in all the equations and then eliminate the variable y by considering two equations at a time. Upon doing so, we get a system of linear equations in 2 variables as shown below:

2(8.x-2z= -30)-»16x-2y+4z =-60
x2y-z3
2х+2у -32 %3 4
17x 3z57
18x 56
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2(8.x-2z= -30)-»16x-2y+4z =-60 x2y-z3 2х+2у -32 %3 4 17x 3z57 18x 56

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Step 3

Now we will solve this sytem in variable x and z first. And then we can easily find the value of...

17x 3z-57
56)-> 54x+3z =-168
3(18x
111
-37x 111->x =
-37
-3
17x 3z57>17(-3)+3z -57->-51+3z=-57
z = -2
3z-6
x2y 3-3 +2y -(-2) = 3->2y-1 3
2y 4y 2
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17x 3z-57 56)-> 54x+3z =-168 3(18x 111 -37x 111->x = -37 -3 17x 3z57>17(-3)+3z -57->-51+3z=-57 z = -2 3z-6 x2y 3-3 +2y -(-2) = 3->2y-1 3 2y 4y 2

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Equations and In-equations

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