document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101042>Question 1101042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If parcel A and B together weigh 24 kgs, but parcel B and C together weighs only 21 kgs.<BR>\n" );
document.write( "When parcel A and C are paired, the combined weight is 27kgs. If the weight of parcel A is<BR>\n" );
document.write( "represented by a, the weight of parcel C is represented by b and the weight of parcel C is<BR>\n" );
document.write( "represented by c.<BR>\n" );
document.write( "a. Derive a system of three equations in a, b and c.<BR>\n" );
document.write( "b. Using the inverse method derive the combined weight of parcel A, B and C </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715680 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=715680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> original<BR>\n" );
document.write( "1 1 0 24<BR>\n" );
document.write( "0 1 1 21<BR>\n" );
document.write( "1 0 1 27<BR>\n" );
document.write( "determinant =2<BR>\n" );
document.write( "inverse matrix fractional form<BR>\n" );
document.write( "1/2 -1/2 1/2<BR>\n" );
document.write( "1/2 1/2 -1/2<BR>\n" );
document.write( "-1/2 1/2 1/2 <BR>\n" );
document.write( "24 21 27 <BR>\n" );
document.write( "solutions and sum<BR>\n" );
document.write( "15 + 9 + 12 =36<BR>\n" );
document.write( "The process is much too long to present here.<BR>\n" );
document.write( "I can only assume that such a problem was given to practice the inverse matrix method so that you could check your result easily with ankor's method..<BR>\n" );
document.write( "There are several inverse matrix methods including using gauss jordan, using the identity matrix and using determinants, cofactors and and adjoint.<BR>\n" );
document.write( "I used determinant, cofactor and  adjoint. \r<BR>\n" );
document.write( "\n" );
document.write( "Previously, Ankor and Ikleyn used a different method  to solve the same problem stating it is the most obvious and simplest choice to solve this problem. It is but I suppose that the teacher is introducing inverse matrix method and started with an easy system of equations.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );