document.write( "Question 1140942: How can I solve the following set of equations by using Gauss Elimination Method;
\n" ); document.write( "2x + 3y + 4z = 12
\n" ); document.write( "3x + y + z = 4
\n" ); document.write( "x + 4y + z = 5
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Algebra.Com's Answer #761490 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"2x+%2B+3y+%2B+4z+=+12\"
\n" ); document.write( "\"3x+%2B+y+%2B+z+=+4\"
\n" ); document.write( "\"x+%2B+4y+%2B+z+=+5\"\r
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\n" ); document.write( "\n" ); document.write( "Your matrix\r
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\n" ); document.write( "\n" ); document.write( "Find the pivot in the 1st column and swap the 3rd and the 1st rows:\r
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\n" ); document.write( "\n" ); document.write( "Eliminate the 1st column:\r
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\n" ); document.write( "\n" ); document.write( "Make the pivot in the 2nd column by dividing the 2nd row by \"-11\":\r
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\n" ); document.write( "\n" ); document.write( "Eliminate the 2nd column:\r
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\n" ); document.write( "\n" ); document.write( "Make the pivot in the 3rd column by dividing the 3rd row by \"32%2F11\":\r
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\n" ); document.write( "\n" ); document.write( "Eliminate the 3rd column:\r
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\n" ); document.write( "\n" ); document.write( "Solution set:\r
\n" ); document.write( "\n" ); document.write( "\"x+=+11%2F32\"
\n" ); document.write( "\"y=+9%2F16\"
\n" ); document.write( "\"z=+77%2F32\"\r
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