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

tabita57i

Answered question

2020-11-23

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

Answer & Explanation

Mitchel Aguirre

Mitchel Aguirre

Skilled2020-11-24Added 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
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-27Added 2605 answers

Answer is given below (on video)

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