SOLUTION: Use row operations to solve the system. x+y-z=4 3x-y+z=-12 x-4y+2z=-52 The system has exactly one solution. The solution is:_,_,_

Algebra ->  Finance -> SOLUTION: Use row operations to solve the system. x+y-z=4 3x-y+z=-12 x-4y+2z=-52 The system has exactly one solution. The solution is:_,_,_      Log On


   

Question 1117718: Use row operations to solve the system.
x+y-z=4
3x-y+z=-12
x-4y+2z=-52
The system has exactly one solution. The solution is:_,_,_
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

1   1  -1    4
3  -1   1  -12
1  -4   2  -52

-3R1 + R2 -> R2

1   1  -1    4
0  -4   4  -24
1  -4   2  -52

-R1 + R3 -> R3
 
1   1  -1    4
0  -4   4  -24
0  -5   3  -56

-R2/4 -> R2

1   1  -1    4
0   1  -1    6
0  -5   3  -56

5R2 + R3 -> R3

1   1  -1    4
0   1  -1    6
0   0  -2  -26

-R3/2 -> R3

1   1  -1    4
0   1  -1    6
0   0   1   13

R3 + R1 -> R1
R3 + R2 -> R2

1   1   0   17
0   1   0   19
0   0   1   13

-R2 + R1 -> R1

1   0   0   -2
0   1   0   19
0   0   1   13


The single element of the solution set is the ordered triple

John

My calculator said it, I believe it, that settles it