Questions on Algebra: Matrices, determinant, Cramer rule answered by real tutors!

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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
: 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

Answer by jim_thompson5910(9911) 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(x+y=2,7x+8y=21)


translates to the matrix


(matrix(2,3,1,1,2,7,8,21))



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(x-y+3z=6,x-2y=5,2x-2y+5z=9)


translates to the matrix


(matrix(3,4,1,-1,3,6,1,-2,0,5,2,-2,5,9))



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)