document.write( "Question 1032459: Use Gaussian elimination to solve. \r
\n" ); document.write( "\n" ); document.write( "x+y+z=-3
\n" ); document.write( "2x-3y+6z=-21
\n" ); document.write( "-3x+5y=-14
\n" ); document.write( "

Algebra.Com's Answer #647191 by LinnW(1048)\"\" \"About 
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( "
\n" );