document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44541>Question 44541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I need to find the line passing through (1,42) and (17,314) using Gaussian Elimination. I think that is using matrices. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29424 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=29424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, I need to find the line passing through (1,42) and (17,314) using Gaussian Elimination. I think that is using matrices.<BR>\n" );
document.write( "LET THE EQN. BE<BR>\n" );
document.write( "AX+BY=1...IT IS PASSING THROUGH (1,42)..SO<BR>\n" );
document.write( "1A+42B=1...........I<BR>\n" );
document.write( "IT IS PASSING THROUGH (17,314)...SO...<BR>\n" );
document.write( "17A+314B=1.................II<BR>\n" );
document.write( "WE HAVE 2 SIMULTANEOUS EQNS. IN A AND B <BR>\n" );
document.write( "SO AUGMENTED MATRIX OF THESE EQNS. IS  <BR>\n" );
document.write( "1...........42............1<BR>\n" );
document.write( "17..........314...........1\r<BR>\n" );
document.write( "\n" );
document.write( "NR2=R2-17*R1\r<BR>\n" );
document.write( "\n" );
document.write( "1...............42.....................1<BR>\n" );
document.write( "17-17*1=0......314-17*42=-400........=1-17*1=-16\r<BR>\n" );
document.write( "\n" );
document.write( "NR2=R2/-400\r<BR>\n" );
document.write( "\n" );
document.write( "1...............42.................1<BR>\n" );
document.write( "0................1.................-16/-400=1/25\r<BR>\n" );
document.write( "\n" );
document.write( "NR1=R1-42*R2\r<BR>\n" );
document.write( "\n" );
document.write( "1................0...................1-42/25=-17/25<BR>\n" );
document.write( "0................1....................1/25\r<BR>\n" );
document.write( "\n" );
document.write( "HENCE A=-17/25<BR>\n" );
document.write( "B=1/25<BR>\n" );
document.write( "EQN.OF ST.LINE IS <BR>\n" );
document.write( "-17X/25 +Y/25=1<BR>\n" );
document.write( "-17X+Y=25 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );