SOLUTION: solve each system by using an augmented matrix. x-2y+z=9 3x+y=1 -2x-3y-z=0

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Question 666357: solve each system by using an augmented matrix.
x-2y+z=9
3x+y=1
-2x-3y-z=0
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
matrix%283%2C4%2C1%2C-2%2C1%2C9%2C3%2C1%2C0%2C1%2C-2%2C-3%2C-1%2C0%29
Add -3 times the 1st row to the 2nd row to get:
matrix%283%2C4%2C1%2C-2%2C1%2C0%2C0%2C7%2C-3%2C1%2C-2%2C-3%2C-1%2C0%29
Add 2 times the 1st row to the 3rd row to get:
matrix%283%2C4%2C1%2C-2%2C1%2C0%2C0%2C7%2C-3%2C1%2C0%2C-7%2C1%2C0%29
Divide the 2nd row by 7.
matrix%283%2C4%2C1%2C-2%2C1%2C0%2C0%2C1%2C-3%2F7%2C1%2F7%2C0%2C-7%2C1%2C0%29
Add 7 times the 2nd row to the third row.
matrix%283%2C4%2C1%2C-2%2C1%2C0%2C0%2C1%2C-3%2F7%2C1%2F7%2C0%2C0%2C-2%2C1%29
Divide by -2 to the third row.
matrix%283%2C4%2C1%2C-2%2C1%2C0%2C0%2C1%2C-3%2F7%2C1%2F7%2C0%2C0%2C1%2C-1%2F2%29
Add 3/7 times the 3rd row to the 2nd row
matrix%283%2C4%2C1%2C-2%2C1%2C0%2C0%2C1%2C0%2C-1%2F14%2C0%2C0%2C1%2C-1%2F2%29
Add -1 times the 3rd row to the 1st row
matrix%283%2C4%2C1%2C-2%2C0%2C1%2F2%2C0%2C1%2C0%2C-1%2F14%2C0%2C0%2C1%2C-1%2F2%29
Add 2 times the 2nd row to the 1st row
matrix%283%2C4%2C1%2C0%2C0%2C5%2F14%2C0%2C1%2C0%2C-1%2F14%2C0%2C0%2C1%2C-1%2F2%29
x = 5/14, y = -1/14, z = -1/2