SOLUTION: I just moved to a new school and I am completely lost. Please explain this to me Solve by Gauss-Jordan Method x+y=2 7x+8y=21 and x-y+3z=6 x-2y=5 2x-2y+5z=9

Algebra ->  Matrices-and-determiminant -> SOLUTION: I just moved to a new school and I am completely lost. Please explain this to me Solve by Gauss-Jordan Method x+y=2 7x+8y=21 and x-y+3z=6 x-2y=5 2x-2y+5z=9       Log On


   

Question 164544This question is from textbook Algebra 2
: I just moved to a new school and I am completely lost. Please explain this to me
Solve by Gauss-Jordan Method
x+y=2
7x+8y=21
and
x-y+3z=6
x-2y=5
2x-2y+5z=9
 This question is from textbook Algebra 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The Gauss-Jordan solutions were generated by the Linear Algebra Toolkit


# 1

The system

system%28x%2By=2%2C7x%2B8y=21%29


translates to the matrix


%28matrix%282%2C3%2C1%2C1%2C2%2C7%2C8%2C21%29%29



Gauss-Jordan Method:

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So the solution is x=-5 and y=7 (these are the values in the right most column of the last step)




# 2


The system

system%28x-y%2B3z=6%2Cx-2y=5%2C2x-2y%2B5z=9%29


translates to the matrix


%28matrix%283%2C4%2C1%2C-1%2C3%2C6%2C1%2C-2%2C0%2C5%2C2%2C-2%2C5%2C9%29%29



Gauss-Jordan Method:


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So the solution is x=-11, y=-8, and z=3 (these are the values in the right most column of the last step)