SOLUTION: What is the solution set: 2x+6y-z=6 4x-3y+5z=-5 6x+9y-2z=11 Thank you and Merry Christmas!

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Question 690540: What is the solution set:
2x+6y-z=6
4x-3y+5z=-5
6x+9y-2z=11
Thank you and Merry Christmas!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2x+6y-z=6
4x-3y+5z=-5
6x+9y-2z=11

in matrix form is



Now use row reduction to get
(Solution below provided by the Linear Algebra Toolkit)



(Solution above provided by the Linear Algebra Toolkit)

Since the last column is 1/2, 2/3, and -1, this means that x=1%2F2, y=2%2F3, and z=-1

The solution as an ordered triple is