document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181548>Question 181548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how can i get resolve this by gaussian elemination with back-substitution or gauss-jordan elimination?\r<BR>\n" );
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document.write( "3a+b-c=0<BR>\n" );
document.write( "2a+3b-5c=1<BR>\n" );
document.write( "a-2b+3c=-4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136266 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=136266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3a +b -c= 0<BR>\n" );
document.write( "2a+3b-5c= 1<BR>\n" );
document.write( "a-2b+3c= -4<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Rearrange the equations:<BR>\n" );
document.write( "a-2b+3c =-4<BR>\n" );
document.write( "3a+b-c  = 0<BR>\n" );
document.write( "2a+3b-5c= 1<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Subtract 3 times the 1st from the 2nd.<BR>\n" );
document.write( "Subtract 2times the 1st from the 3rd.<BR>\n" );
document.write( "a-2b+3c  = -4<BR>\n" );
document.write( "0+7b-10c = 12<BR>\n" );
document.write( "0+7b-11c =  9<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Subtract the 2nd from the 3rd.<BR>\n" );
document.write( "a-2b+3c  = -4<BR>\n" );
document.write( "0+7b-10c = 12<BR>\n" );
document.write( "0+ 0-1c  = -3<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Solve for c and substitute into 1st and 2nd.<BR>\n" );
document.write( "c = 3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "a-2b+9=-4<BR>\n" );
document.write( "0+7b-30=12<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for b and substitute into 1st<BR>\n" );
document.write( "7b = 42<BR>\n" );
document.write( "b = 6<BR>\n" );
document.write( "----<BR>\n" );
document.write( "a-2*6+9 = -4<BR>\n" );
document.write( "a - 3 = -4<BR>\n" );
document.write( "a = -1<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Ans:<BR>\n" );
document.write( "a = -1<BR>\n" );
document.write( "b =  6<BR>\n" );
document.write( "c =  3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );