3x+2y-z=5(adsbygoogle = window.adsbygoogle || []).push({});

-2x+2y+5z=2

x-2y+3z=11

Now we are required to solve these linear equations via Gaussian method.

I put these in an echelon form and this how I did it:

Switch L1 with L3 to make life easier.

L1: x-2y+3z=11

L2:-2x+2y+5z=2

L3:3x+2y-z=5

Then I went to work to remove eliminate X from L2 and L3.

L2 + 2L1

L3 + (-3L1)

Which got me:

L2: 0 -2 11 23

L3: 0 8 -8 -28

Then I removed the Y from L3.

L3+(4L2)

However, I got a stupid number which didn't follow the law:

The bottom row had to be : 0 0 1 X

So if anyone can help me solve this I'd be much obliged. Thank you

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# Homework Help: Gaussian reducation to solve

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