document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=876542>Question 876542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of equations by hand. Use the Gaussian elimina-<BR>\n" );
document.write( "tion, on the augmented matrix, and write the row operation you used next<BR>\n" );
document.write( "to each new row.<BR>\n" );
document.write( "x + y + z = 0<BR>\n" );
document.write( "3x - 2y + 2z = -14<BR>\n" );
document.write( "2x + 3y - z = 22: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #528897 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=528897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> original 3*4 matrix<BR>\n" );
document.write( "1,1,1,0<BR>\n" );
document.write( "3,-2,2,-14<BR>\n" );
document.write( "2,3,-1,22\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "add  -3*row 1 to row 2\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,1,0<BR>\n" );
document.write( "0,-5,-1,-14<BR>\n" );
document.write( "2,3,-1,22\r<BR>\n" );
document.write( "\n" );
document.write( "add  -2*row 1 to row 3\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,1,0<BR>\n" );
document.write( "0,-5,-1,-14<BR>\n" );
document.write( "0,1,-3,22\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 2 by -5\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,1,0<BR>\n" );
document.write( "0,1,0.2,2.8<BR>\n" );
document.write( "0,1,-3,22\r<BR>\n" );
document.write( "\n" );
document.write( "add  -1*row 2 to row 3\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,1,0<BR>\n" );
document.write( "0,1,0.2,2.8<BR>\n" );
document.write( "0,0,-3.2,19.2\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 3 by -3.2\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,1,0<BR>\n" );
document.write( "0,1,0.2,2.8<BR>\n" );
document.write( "0,0,1,-6.0\r<BR>\n" );
document.write( "\n" );
document.write( "add  -0.2*row 3 to row 2\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,1,0<BR>\n" );
document.write( "0,1,0,4<BR>\n" );
document.write( "0,0,1,-6.0\r<BR>\n" );
document.write( "\n" );
document.write( "add  -1*row 3 to row 1\r<BR>\n" );
document.write( "\n" );
document.write( "1,1,0,6.0<BR>\n" );
document.write( "0,1,0,4<BR>\n" );
document.write( "0,0,1,-6.0\r<BR>\n" );
document.write( "\n" );
document.write( "add  -1*row 2 to row 1\r<BR>\n" );
document.write( "\n" );
document.write( "1,0,0,2.0<BR>\n" );
document.write( "0,1,0,4<BR>\n" );
document.write( "0,0,1,-6.0\r<BR>\n" );
document.write( "\n" );
document.write( "x=2<BR>\n" );
document.write( "y=4<BR>\n" );
document.write( "z=-6<BR>\n" );
document.write( "(2,4,-6) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );