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Question 1031933: x-2y+3z = - 4 3x+y-z=0 2x+3y-5z=1 gauss jordan elimination
Answer by Cromlix(4381)   (Show Source):
You can put this solution on YOUR website! Hi there,
x - 2y + 3z = -4......(1)
3x + y - z = 0........(2)
2x + 3y - 5z = 1......(3)
.........
Using Equations (1) and (2)
x - 2y + 3z = -4
3x + y - z = 0
Multiply (2) by 2
x - 2y + 3z = -4
6x + 2y - 2z = 0
Add
7x + z = -4
............
Using Equations (2) and (3)
3x + y - z = 0
2x + 3y - 5z = 1
Multiply (2) by 3
9x + 3y - 3z = 0
2x + 3y - 5z = 1
Subtract
7x + 2z = -1
..........
7x + z = -4
7x + 2z = -1
Subtract
-z = -3
z = 3
Substitute z = 3 into:-
7x + z = -4
7x + 3 = -4
7x = -7
x = -1
Substitute x = -1 and z = 3
into:-
x - 2y + 3z = -4
-1 -2y + 9 = -4
-2y = -12
y = 6
x = -1, y = 6, z = 3
Hope this helps :-)
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