Question 902029: y=-1+x
y=4+z
z=-1-x
use the gauss-Jordan method to solve the system of equation please!
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! 1,-1,0,1
0,1,-1,4
1,0,1,-1
add down (0) *row 1 to row 2
1,-1,0,1
0,1,-1,4
1,0,1,-1
add down (-1) *row 1 to row 3
1,-1,0,1
0,1,-1,4
0,1,1,-2
divide row 2 by 1
1,-1,0,1
0,1,-1,4
0,1,1,-2
add down (-1) *row 2 to row 3
1,-1,0,1
0,1,-1,4
0,0,2,-6
divide row 3 by 2
1,-1,0,1
0,1,-1,4
0,0,1,-3
We now have the value for the last variable.
We will work our way up and get the other solutions.
add up (1) *row 3 to row 2
1,-1,0,1
0,1,0,1
0,0,1,-3
add up (0) *row 3 to row 1
1,-1,0,1
0,1,0,1
0,0,1,-3
add up (1) *row 2 to row 1
1,0,0,2
0,1,0,1
0,0,1,-3
final
1,0,0,2
0,1,0,1
0,0,1,-3
"2","1","-3"
(2,1,-3)
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