Question
Asked Aug 20, 2019
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What is the value of x in the system of equations below?

x + y + z =-5

-2x - y + z = 3

x - 2y - z = -5

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Expert Answer

Step 1

We are given system of equations

 

xyz =
y +z =3
r-2y-z-5
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xyz = y +z =3 r-2y-z-5

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Step 2

Firstly, we will find augmented matrix

 

1 11-5
A =-2-1 1 3
1-2-1-5
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1 11-5 A =-2-1 1 3 1-2-1-5

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Step 3

Now, we can find  reduced row echelon for...

[ 1 1 1-5
A =-2-1 i 3
1 -2-1-5
step-1: Add 2 times the 1st row to the 2nd row
[1 1 1-5
A O 1 3 -7
1-2-1-5
step-2: Add -1 times the 1st row to the 3rd row
[1 1 1-5
A=0 1 3 -7
o-3-2 o
step-3: Add 3 times the 2nd row to the 3rd row
[1 1 1 -5
A=013 -7
o07-21
1
step-4 Multiply 3rd row by
7
[1 11-51
013-7
A
001-3
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[ 1 1 1-5 A =-2-1 i 3 1 -2-1-5 step-1: Add 2 times the 1st row to the 2nd row [1 1 1-5 A O 1 3 -7 1-2-1-5 step-2: Add -1 times the 1st row to the 3rd row [1 1 1-5 A=0 1 3 -7 o-3-2 o step-3: Add 3 times the 2nd row to the 3rd row [1 1 1 -5 A=013 -7 o07-21 1 step-4 Multiply 3rd row by 7 [1 11-51 013-7 A 001-3

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Tagged in

Math

Algebra

Equations and In-equations