document.write( "Question 206096: How do you solve a linear equations with Gaussian elimination?\r
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Algebra.Com's Answer #155727 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "Multiply row 1 thru by -2 and add to row 2\r\n" );
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document.write( "Multiply row 1 by -1 and add to row 3\r\n" );
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document.write( "Multiply row 2 by -1 and add to row 3\r\n" );
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document.write( "Now we write the system of equations that this\r\n" );
document.write( "matrix represents:\r\n" );
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document.write( "The bottom equation is all 0's so any values of\r\n" );
document.write( "x, y, and z would be solutions to it, so we eliminate\r\n" );
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document.write( "Choose an arbitrary value for z, we will use \r\n" );
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document.write( "Or, after erasing the 0s and 1 coefficients:\r\n" );
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document.write( "Substitute  for  in the 2nd equation:\r\n" );
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document.write( "Solve for y\r\n" );
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document.write( "Substitute  for  and  \r\n" );
document.write( "for  in the first equation:\r\n" );
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document.write( "Clear of fractions:\r\n" );
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document.write( "So the solution is:\r\n" );
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document.write( "(x, y, z) = (,,) \r\n" );
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document.write( "Edwin

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