This document describes the Gauss-Jordan method for solving a system of 3 linear equations with 3 unknowns. The system of equations (1), (2), and (3) is given. The steps shown perform row operations on the coefficient matrix to put it in reduced row echelon form, resulting in values for x, y, and z.

1. Método de Gauss- Jordán
2x+3y+2z=20… (1)
3x+5y-4z=40… (2)
4x+8y+3z=60… (3)
R1/2 -3R1+R2 ….R2=
R2/1/2 = -4R1+R3….R3=
-2R2+R3…R3 = R3/27=

2. 14R3+R2…R2=
-R3+R1…R1= -3/2+R1+R1..R1
X=-100/27
Y=260/27
Z=-20/27