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 150363: 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 mgmoeab(37) About Me  (Show Source):
You can put this solution on YOUR website!
let see:
+3x+12y|-12
-6x-17y|+03
Coefficient matrix
+3+12|-12
-6-17|+03
+1+4|-4 -----|> 1/3R1
*0+7|-21 -----|> 6R1+R2
+1+4|-4
*0+1|-3 -----|> 1/7R2
REDUCED TO:
+1*0|+8 -----|> -4R2+R1
*0+1|-3
SOLUTION:
3(8)+12(-3)=-12
-6(8)-17(-3)=3
X= 8, Y=-3