SOLUTION: I need some help on this equation. I need to use the gauss-jordan method solving by matrices. thanks 4x - 2y = 3 -2x + 3y = 1

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Question 150001: I need some help on this equation. I need to use the gauss-jordan method solving by matrices. thanks
4x - 2y = 3
-2x + 3y = 1
Answer by ntnk(54) About Me  (Show Source):
You can put this solution on YOUR website!
I don't know how to make matrices here, but I'll try.
[ 4 -2 | 3 ]
[-2 3 | 1 ] <-- That's your augmented matrix representing the system of equations.
Now row one column one has to be a pivot, so row two column one must become zero.
Add 1/2*row one to row two.
[4 -2 | 3]
[0 2 | 5/2]
So you have it in the proper inverted triangle form now. Equate the components.
2y+=+5%2F2
y+=+5%2F4
Substitute this back into:
4x+-+2y+=+3
4x+-+2%285%2F4%29+=+3
4x+-+5%2F2+=+3
4x+=+3+%2B+5%2F2+=+11%2F2
x+=+11%2F8
So there is the solution: (11/8, 5,4)
-ntnk