SOLUTION: Solve the following system of equations by hand. Use the Gaussian elimina- tion, on the augmented matrix, and write the row operation you used next to each new row. x + y + z =

Question 876542: Solve the following system of equations by hand. Use the Gaussian elimina-
tion, on the augmented matrix, and write the row operation you used next
to each new row.
x + y + z = 0
3x - 2y + 2z = -14
2x + 3y - z = 22:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
original 3*4 matrix
1,1,1,0
3,-2,2,-14
2,3,-1,22

add -3*row 1 to row 2
1,1,1,0
0,-5,-1,-14
2,3,-1,22
add -2*row 1 to row 3
1,1,1,0
0,-5,-1,-14
0,1,-3,22
divide row 2 by -5
1,1,1,0
0,1,0.2,2.8
0,1,-3,22
add -1*row 2 to row 3
1,1,1,0
0,1,0.2,2.8
0,0,-3.2,19.2
divide row 3 by -3.2
1,1,1,0
0,1,0.2,2.8
0,0,1,-6.0
add -0.2*row 3 to row 2
1,1,1,0
0,1,0,4
0,0,1,-6.0
add -1*row 3 to row 1
1,1,0,6.0
0,1,0,4
0,0,1,-6.0
add -1*row 2 to row 1
1,0,0,2.0
0,1,0,4
0,0,1,-6.0
x=2
y=4
z=-6
(2,4,-6)
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