SOLUTION: Write the augmented matrix for the system of equations and solve the system. 2x–3y+2z=2 x+ 4y-z=9 -3x+y–5z=5 so far, I have, 2 -3 2 |2 1 4 1 |9 -3 1 -5 |5 1

Algebra ->  Matrices-and-determiminant -> SOLUTION: Write the augmented matrix for the system of equations and solve the system. 2x–3y+2z=2 x+ 4y-z=9 -3x+y–5z=5 so far, I have, 2 -3 2 |2 1 4 1 |9 -3 1 -5 |5 1       Log On


   

Question 384240: Write the augmented matrix for the system of equations and solve the system.
2x–3y+2z=2
x+ 4y-z=9
-3x+y–5z=5
so far, I have,
2 -3 2 |2
1 4 1 |9
-3 1 -5 |5
1 4 1 |9
2 -3 2 |2
-3 1 -5 |5
1 4 1 |9
0 -11 4 |-16
0 13 -8 |32
1 4 1 |9
0 1 -1 |11
0 1 5 |-5
1 4 1 |9
0 1 -1 |11
0 0 6 |16
1 4 1 |9
0 1 -1 |11
0 0 1 |29
X+4y-z=9
y-z=11
z=29
x=-122
y=40
z=29
I plugged in my solutions to the equation to see if they are right, but didn't work. What did I do wrong?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Your first matrix should be

2 -3 2 |2
1 4 -1 |9
-3 1 -5 |5


Notice that the 3rd entry in the 2nd row is -1 and NOT 1.


Try it again and tell me what you get.