Solve the system of equations using matrices. Use the Gaussian elimination method with​ back-substitution. x+4y=0 x+5y+z=1 5x-y-z=79

tabita57i 2020-11-23 Answered
Solve the system of equations using matrices. Use the Gaussian elimination method with​ back-substitution.
x+4y=0 x+5y+z=1 5x-y-z=79
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Expert Answer

Mitchel Aguirre
Answered 2020-11-24 Author has 94 answers
Step 1
x+4y=0
x+5y+z=1
5x-y-z=79
The above system can be written matrix form
[1400151151179]
R2R2R1
R3R35R1
[14000111021179]
R3R3+21R2
[140001110020100]
x+4y=0
y+z=1
20z=100
Using back substitution
z=10020
z=5
y=1-5
y=-4
x+4y=0
x=4(4)
x=16
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Jeffrey Jordon
Answered 2022-01-27 Author has 2064 answers

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