document.write( "Question 866215: I have been working on this for over an hour. My numbers seem too high to be real.\r
\n" ); document.write( "\n" ); document.write( "Set up an augmented matrix and use the Gaussian elimination method to solve each system.\r
\n" ); document.write( "\n" ); document.write( "5x-y+z=17
\n" ); document.write( "2x+3y-z=-9
\n" ); document.write( "x-4y+3z=26\r
\n" ); document.write( "\n" ); document.write( "I got x=14897/4505, y=3767/901, and z=-60/53\r
\n" ); document.write( "\n" ); document.write( "I have no clue where I went wrong. But I don't think that these are the correct answers. Any help is appreciated please and thank you.\r
\n" ); document.write( "\n" ); document.write( "Thank you in advance for the help.
\n" ); document.write( "

Algebra.Com's Answer #522129 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
x = 2, y = -3, z = 4
\n" ); document.write( "Divide row1 by 5
\n" ); document.write( "1 -1/5 1/5 17/5
\n" ); document.write( "2 3 -1 -9
\n" ); document.write( "1 -4 3 26\r
\n" ); document.write( "\n" ); document.write( "Add (-2 * row1) to row2
\n" ); document.write( "1 -1/5 1/5 17/5
\n" ); document.write( "0 17/5 -7/5 -79/5
\n" ); document.write( "1 -4 3 26\r
\n" ); document.write( "\n" ); document.write( "Add (-1 * row1) to row3
\n" ); document.write( "1 -1/5 1/5 17/5
\n" ); document.write( "0 17/5 -7/5 -79/5
\n" ); document.write( "0 -19/5 14/5 113/5\r
\n" ); document.write( "\n" ); document.write( "Divide row2 by 17/5
\n" ); document.write( "1 -1/5 1/5 17/5
\n" ); document.write( "0 1 -7/17 -79/17
\n" ); document.write( "0 -19/5 14/5 113/5\r
\n" ); document.write( "\n" ); document.write( "Add (19/5 * row2) to row3
\n" ); document.write( "1 -1/5 1/5 17/5
\n" ); document.write( "0 1 -7/17 -79/17
\n" ); document.write( "0 0 21/17 84/17\r
\n" ); document.write( "\n" ); document.write( "Divide row3 by 21/17
\n" ); document.write( "1 -1/5 1/5 17/5
\n" ); document.write( "0 1 -7/17 -79/17
\n" ); document.write( "0 0 1 4\r
\n" ); document.write( "\n" ); document.write( "Add (7/17 * row3) to row2
\n" ); document.write( "1 -1/5 1/5 17/5
\n" ); document.write( "0 1 0 -3
\n" ); document.write( "0 0 1 4\r
\n" ); document.write( "\n" ); document.write( "Add (-1/5 * row3) to row1
\n" ); document.write( "1 -1/5 0 13/5
\n" ); document.write( "0 1 0 -3
\n" ); document.write( "0 0 1 4\r
\n" ); document.write( "\n" ); document.write( "Add (1/5 * row2) to row1
\n" ); document.write( "1 0 0 2
\n" ); document.write( "0 1 0 -3
\n" ); document.write( "0 0 1 4
\n" ); document.write( "
\n" ); document.write( "
\n" );