Use Gauss - jordan elimination to solve for the values of the unknown.

Question

x + y-z = 20
2x + 3y -z = 15
3x -5y + 2z = 10

Answer 1

1 1 -1 20
2 3 -1 15
3 -5 2 10
======================
1 1 -1 20
0 1 1 -25
3 -5 2 10
================
1 1 -1 20
0 1 1 -25
0 -8 5 -50
=============
1 1 -1 20
0 1 1 -25
0 0 13 -250
================
1 1 -1 20
0 1 1 -25
0 0 1 -250/13 yuuk
===================
1 1 -1 20
0 1 0 -75/13
0 0 1 -250/13
==================
1 1 0 10/13
0 1 0 -75/13
0 0 1 -250/13
=================
1 0 0 85/13
010 -75/13
0 0 1 -250/13 Caramba !!!