document.write( "Question 1032459: Use Gaussian elimination to solve. \r
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document.write( "x+y+z=-3
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document.write( "2x-3y+6z=-21
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document.write( "-3x+5y=-14 \n" );
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Algebra.Com's Answer #647191 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! x+y+z=-3 \n" ); document.write( "2x-3y+6z=-21 \n" ); document.write( "-3x+5y=-14 \n" ); document.write( "* below is the initial matrix \n" ); document.write( "1 1 1 -3 \n" ); document.write( "2 -3 6 -21 \n" ); document.write( "-3 5 0 -14 \n" ); document.write( "* below is the solution \n" ); document.write( "* The website http://www.gregthatcher.com/Mathematics/GaussJordan.aspx \n" ); document.write( "* was used. The website provides a solver. \n" ); document.write( "Add (-2 * row1) to row2 \n" ); document.write( "1 1 1 -3 \n" ); document.write( "0 -5 4 -15 \n" ); document.write( "-3 5 0 -14\r \n" ); document.write( "\n" ); document.write( "Add (3 * row1) to row3 \n" ); document.write( "1 1 1 -3 \n" ); document.write( "0 -5 4 -15 \n" ); document.write( "0 8 3 -23\r \n" ); document.write( "\n" ); document.write( "Divide row2 by -5 \n" ); document.write( "1 1 1 -3 \n" ); document.write( "0 1 -4/5 3 \n" ); document.write( "0 8 3 -23\r \n" ); document.write( "\n" ); document.write( "Add (-8 * row2) to row3 \n" ); document.write( "1 1 1 -3 \n" ); document.write( "0 1 -4/5 3 \n" ); document.write( "0 0 47/5 -47\r \n" ); document.write( "\n" ); document.write( "Divide row3 by 47/5 \n" ); document.write( "1 1 1 -3 \n" ); document.write( "0 1 -4/5 3 \n" ); document.write( "0 0 1 -5\r \n" ); document.write( "\n" ); document.write( "Add (4/5 * row3) to row2 \n" ); document.write( "1 1 1 -3 \n" ); document.write( "0 1 0 -1 \n" ); document.write( "0 0 1 -5\r \n" ); document.write( "\n" ); document.write( "Add (-1 * row3) to row1 \n" ); document.write( "1 1 0 2 \n" ); document.write( "0 1 0 -1 \n" ); document.write( "0 0 1 -5\r \n" ); document.write( "\n" ); document.write( "Add (-1 * row2) to row1 \n" ); document.write( "1 0 0 3 \n" ); document.write( "0 1 0 -1 \n" ); document.write( "0 0 1 -5 \n" ); document.write( " |