SOLUTION: solve the following set of simultaneous equation by using Gaussian Elimination method : 1/x + 2/y - 1/z = 1 2/x + 4/y - 1/z = 5 3/x + 2/y - 2/z = 0

Algebra ->  Matrices-and-determiminant -> SOLUTION: solve the following set of simultaneous equation by using Gaussian Elimination method : 1/x + 2/y - 1/z = 1 2/x + 4/y - 1/z = 5 3/x + 2/y - 2/z = 0      Log On


   

Question 647295: solve the following set of simultaneous equation by using Gaussian Elimination method :
1/x + 2/y - 1/z = 1
2/x + 4/y - 1/z = 5
3/x + 2/y - 2/z = 0
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1/x + 2/y - 1/z = 1
2/x + 4/y - 1/z = 5
3/x + 2/y - 2/z = 0
---------------
Sub for 1/x, etc
------
r + 2s - t = 1 Eqn 1
2r+ 4s - t = 5 Eqn 2
3r+ 2s -2t = 0 Eqn 3
------
r + 2s - t = 1 Eqn 1
2r+ 4s - t = 5 Eqn 2
----------------------- Subtract
-r - 2s = -4 eqn A
===============
4r+ 8s -2t = 10 Eqn 2 x2
3r+ 2s -2t = 0 Eqn 3
-------------------------- Subtract
r + 6s = 10 eqn B
-r - 2s = -4 eqn A
----------------------- Add
4s = 6
s = 3/2
y = 2/3
etc