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We will use method 5: AUGMENTED MATRIX method (REDUCED row-echelon) to solve the system of linear equations in 3 variables:
Eqn. 1: x-y+4z=9
Eqn. 2: 5x+3y-6z=3
Eqn. 3: 3x+7y+4z=-1

Next video in this series can be seen at:
https://youtu.be/Lph7CNGUPZI