document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30595>Question 30595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( " Could someone please help be solve this problem. It is a maxtrix problem and I need to solve for x,y,and z using the Guss-Jordan Process.\r<BR>\n" );
document.write( "\n" );
document.write( "3X-2Y+8Z=9<BR>\n" );
document.write( "-2X+2Y+z=3<BR>\n" );
document.write( "X+2y-3Z=8\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you so much!!!!<BR>\n" );
document.write( "Have a great day:)<BR>\n" );
document.write( "Sarah </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17355 by </B><A HREF=/tutors/aboutme.mpl?userid=Fermat><B>Fermat(136)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fermat><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=Fermat><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3X-2Y+8Z=9<BR>\n" );
document.write( "-2X+2Y+z=3<BR>\n" );
document.write( "X+2y-3Z=8 <BR>\n" );
document.write( "Writing it out in augmented matrix form, (1), (2) and (3)refer to the 1st, 2nd and 3rd eqns at each step.<BR>\n" );
document.write( "I hope you can follow this. The row operations are in between each step.<BR>\n" );
document.write( " 3 -2  8|9<BR>\n" );
document.write( "-2  2  1|3<BR>\n" );
document.write( " 1  2 -3|8<BR>\n" );
document.write( "(1)- 3*(3), (2) + 2*(3)<BR>\n" );
document.write( "0 -8 17|-15<BR>\n" );
document.write( "0 6 -5|19<BR>\n" );
document.write( "1 2 -3|8<BR>\n" );
document.write( "3*(1), 3*(3),<BR>\n" );
document.write( "0 -24 51|-45<BR>\n" );
document.write( "0 6 -5|19<BR>\n" );
document.write( "3 6 -9|24<BR>\n" );
document.write( "(1) + 4*(2), (3) - (2),<BR>\n" );
document.write( "0 0 31|31<BR>\n" );
document.write( "0 6 -5|19<BR>\n" );
document.write( "3 0 -4|5<BR>\n" );
document.write( "(1)/31,<BR>\n" );
document.write( "0 0 1|1<BR>\n" );
document.write( "0 6 -5|19<BR>\n" );
document.write( "3 0 -4|5<BR>\n" );
document.write( "(2) + 5*(1), (3) + 4*(1)<BR>\n" );
document.write( "0 0 1|1<BR>\n" );
document.write( "0 6 0|24<BR>\n" );
document.write( "3 0 0|9<BR>\n" );
document.write( "(2)/6, (3)/3,<BR>\n" );
document.write( "0 0 1|1<BR>\n" );
document.write( "0 1 0|4<BR>\n" );
document.write( "1 0 0|3<BR>\n" );
document.write( "Hence:x = 3, y = 4, z = 1<BR>\n" );
document.write( "========================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );