Solving Systems of Equations: Finding General Solutions with Augmented Matrices

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SUMMARY

The discussion focuses on solving systems of equations using augmented matrices, specifically the matrices provided: 1 3 4 | 7 and 3 9 7 | 6. The user applied row operations, resulting in the reduced form of the matrix: 1 3 0 | -5 and 0 0 1 | 3. The final solution format should express the variables as parameters, such as (a, b, c), rather than just the reduced matrix form.

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Homework Statement



The question says to find the general solutions of the systems, given the augmented matrices:

1 3 4 l 7
3 9 7 l 6



Homework Equations





The Attempt at a Solution



1 3 4 l 7
3 9 7 l 6 --> (-3)1st+2nd and simplified

and got:

1 3 4 l 7
0 0 -5 l -15

(-3)1st+2nd and simplified then got:

1 3 4 l 7
0 0 1 l 3

and finally, (-4)2nd+1st:

1 3 0 l -5
0 0 1 l 3


Does this look right? I'm just wondering if I got the correct answer. Thanks
 
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You correctly ranked the matrix, but where is your solution?
It should be something like: (a,b,c) where a,b,c could be numbers or parameters.
 

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