document.write( "Question 946271: The system of linear equations has a unique solution. Find the solution using Gaussian elimination or Gauss-Jordan elimination.
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "2y + z = 9
\n" ); document.write( "x + y = 9
\n" ); document.write( "3x + 3y − z = 10
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #577329 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
2y + z = 9
\n" ); document.write( "x + y = 9
\n" ); document.write( "3x + 3y − z = 10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "0........... 2........... 1........... 9
\n" ); document.write( "1........... 1........... 0........... 9
\n" ); document.write( "3........... 3........... -1........... 10\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Swapping row2 with row1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1........... 1........... 0........... 9
\n" ); document.write( "0........... 2........... 1........... 9
\n" ); document.write( "3........... 3........... -1........... 10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add (-3 * row1) to row3\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1........... 1........... 0........... 9
\n" ); document.write( "0........... 2........... 1........... 9
\n" ); document.write( "0........... 0........... -1........... -17\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Divide row2 by 2\r
\n" ); document.write( "\n" ); document.write( "1........... 2........... 0........... 9
\n" ); document.write( "0........... 1........... 1/2........... 9/2
\n" ); document.write( "0........... 0........... -1........... -17\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Divide row3 by -1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1........... 1........... 0........... 9
\n" ); document.write( "0........... 1........... 1/2........... 9/2
\n" ); document.write( "0........... 0........... 1........... 17\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add (-1/2 * row3) to row2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1........... 1........... 0........... 9
\n" ); document.write( "0........... 1........... 0........... -4
\n" ); document.write( "0........... 0........... 1........... 17\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add (-1 * row2) to row1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1........... 0........... 0........... 13
\n" ); document.write( "0........... 1........... 0........... -4
\n" ); document.write( "0........... 0........... 1........... 17\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=13\"
\n" ); document.write( "\"y=-4\"
\n" ); document.write( "\"z=17\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );