Solving Systems of Linear Equations (Echelon Matrices)

[DiamondV]

Homework Statement

find the general solution of the given system of equations:
http://puu.sh/ncKaS/57a333f5b9.png

Homework Equations

Row Echelon Operations

The Attempt at a Solution

http://puu.sh/ncKcm/3e2b2bd5ab.jpg

The correct answer given is x = 1, y = 1, z = 2, w = −3

I have done quite a few of these now around 5-6 and have gotten 3 correct. I don't know what my mistake with this one is. We are using Gaussian elimination.[/B]

 

[Gianmarco]

When you add 18 times r3 to r4, the last term of row 3 is 16/14*18 not 16/4*18

 

[DiamondV]

When you add 18 times r3 to r4, the last term of row 3 is 16/14*18 not 16/4*18

Ahhh. Thanks soo much.