document.write( "Question 214357: Hi again, can anyone show me how to use Gaussian Elimination? I have to use it to solve some of the following eqaution. Help with the whole equation would be most apreciated.
\n" ); document.write( "Solve the following system of equations by hand. Use the Gaussian Elimination, on the augmeted matrix, and write the row operation you used next to each row.
\n" ); document.write( " $\"system%282x+%2B+y+-+z+=+3%2Cx+-+y+%2B+z+=+0%0D%0A%2Cy+%2B+2z+=+1%29\"$
\n" ); document.write( "Help with steps and added notes would be really appreciated.
\n" ); document.write( "-Nick. \n" ); document.write( "

Algebra.Com's Answer #162057 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"system%282x+%2B+y+-+z+=+3%2Cx+-+y+%2B+z+=+0%0D%0A%2Cy+%2B+2z+=+1%29\"$ \r
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document.write( "Swap row 1 and 2 to get a 1 in the upper left corner\r\n" );
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document.write( "Multiply Row 1 temporarily by -2, getting \r\n" );
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document.write( "and add that to row 2:\r\n" );
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document.write( "Swap rows 2 and 3:\r\n" );
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document.write( "Multiply Row 2 temporarily by -3, getting \r\n" );
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document.write( "and adding that to row 3:\r\n" );
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document.write( "Mutiply row 3 by \r\n" );
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document.write( "Convert back into a system of equations:\r\n" );
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document.write( "or just\r\n" );
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document.write( "Substitute  from the bottom equation\r\n" );
document.write( "into the middle equation \r\n" );
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document.write( "Substitute  and \r\n" );
document.write( "into the top equation \r\n" );
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document.write( "So the solution is \r\n" );
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document.write( "Edwin

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