Use gauss-jordan elimination to solve the following linear system.
x – 6y – 3z = 4
–2x – 3z = –8
–2x + 2y – 3z = –14

First eliminate by adding to three times . This gives



This reduces the system of one of two equations and two unknowns:



You can eliminate by subtracting and four times to get



Back-substitute to find and . You should end up with .

The total would be 40.53