Step by Step equation on Matrix

Question

3x -y - z = 4

x + y + 2z = 1

4x - y + z = 0

Answer 1

using your TI83 calculator, rewrite this 3x4 linear system as a 4x4 matrix
(3,-1,-1,4),(1,1,2,1),(4,-1,1,0),(0,0,0,0)
next press 2nd-matrix ,edit and enter the above augmented matrix
press 2nd-quit to save
next 2nd-matrix-math-rref to obtain the below reduced row matrix
(1,0,0,2),(0,1,0,5),(0,0,1,-3),(0,0,0,0)
thus: x=2, y=5 and z=-3

Answer 2

using your TI83 calculator, rewrite this 3x4 linear system as a 4x4 matrix

(3,-1,-1,4),(1,1,2,1),(4,-1,1,0),(0,0,0,0)

next press 2nd-matrix ,edit and enter the above augmented matrix

press 2nd-quit to save

next 2nd-matrix-math-rref to obtain the below reduced row matrix

(1,0,0,2),(0,1,0,5),(0,0,1,-3),(0,0,0,0)

thus: x=2, y=5 and z=-3