SOLUTION: please help, if I use the gauss-jordan elimination to solve the equation, how do i find the answer: 3x+5y=7 6x-y=-8?

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Question 176533: please help, if I use the gauss-jordan elimination to solve the equation, how do i find the answer: 3x+5y=7 6x-y=-8?
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

First, extract the coefficients and the right hand constants to form the matrix:





Multiply Row 1 by to make the pivot 1:




Add -6*Row 1 to Row 2 to get the new Row 2




Multiply Row 2 by to make the pivot 1:






Add *Row 2 to Row 1 to replace Row 1:




The matrix is now in reduced row echelon form


If you need more help with row reduction, check out the Linear Algebra Toolkit



Since the right hand column is , this means that and

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