SOLUTION: Use the Gauss - Jordan method to solve the system of equations. 3x +12y =-12 -6x-17y = 3 Here is my work, but i'm not sure if it's correct [3 12 |-12] 1/3 R1

Algebra ->  Matrices-and-determiminant -> SOLUTION: Use the Gauss - Jordan method to solve the system of equations. 3x +12y =-12 -6x-17y = 3 Here is my work, but i'm not sure if it's correct [3 12 |-12] 1/3 R1       Log On


   

Question 150364: Use the Gauss - Jordan method to solve the system of equations.
3x +12y =-12
-6x-17y = 3

Here is my work, but i'm not sure if it's correct
[3 12 |-12] 1/3 R1
[-6 -17 |3] 2 R1 + R2

Turns to [1 4 |-4] -4 R2+R1
[0 7 |-27] 1/7

Turns to [1 0 |11 3/7] X= 11 3/7
[0 1 | -3 6/7] Y= -3 6/7

answer {(11 3/7, -3 6/7)}
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Gauss - Jordan method to solve the system of equations.
3x +12y =-12
-6x-17y = 3
------------------------
[3 12 | [-12]
[-6 -17 | 3 ]
--------------
2R1 + R2 gives:
[3 12 |-12]
[0 7 |-21]
----------------
1/3 R1 gives:
[1 4 |-4 ]
[0 7 |-21]
----------------
(1/7)R2 gives:
[1 4 |-4 ]
[0 1 |-3 ]
----------------
R1 -4R2 gives:
[1 0 | 8 ]
[0 1 |-3 ]
------------------
Cheers,
Stan H.