document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196182>Question 196182</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, Nick here, was hoping someone might be able to give me a hand with writing the  following system of equations in the matrix form and solve using inverse matrix. <BR>\n" );
document.write( "x + 2y = 6 ,<BR>\n" );
document.write( "3x + 4y = 2<BR>\n" );
document.write( "I also have to solve the system using the elimination procedure and compare the two answers.<BR>\n" );
document.write( "Any help would be great. -Nick </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147059 by </B><A HREF=/tutors/aboutme.mpl?userid=anantha><B>anantha(86)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=anantha><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=147059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sol:<BR>\n" );
document.write( "matrix equations obtained from the equations a1x+b1y+c1=0<BR>\n" );
document.write( "a2x+b2y+c2=0 is<BR>\n" );
document.write( "[a1 b1][x]=[-c1]<BR>\n" );
document.write( "[a2 b2][y]=[-c2]<BR>\n" );
document.write( "write the given equations in the mmatrix notation<BR>\n" );
document.write( "x+2y=6<BR>\n" );
document.write( "3x+4y=2<BR>\n" );
document.write( " [1 2][x]=[6]<BR>\n" );
document.write( " [3 4][y]=[2]<BR>\n" );
document.write( "here A=[1 2]  X= [x]    B=[6]<BR>\n" );
document.write( "       [3 4]     [y]      [2]\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the matrix equation of the form<BR>\n" );
document.write( "AX=B<BR>\n" );
document.write( "x=A^-1B<BR>\n" );
document.write( "A^-1=1/ad-bc [d -b]<BR>\n" );
document.write( "             [-c a]<BR>\n" );
document.write( "    =1/4-6  [4 -2]<BR>\n" );
document.write( "            [-3 1]<BR>\n" );
document.write( "    =1/-2  [4 -2]<BR>\n" );
document.write( "           [-3 1]<BR>\n" );
document.write( "   =[4/-2  -2/-2]<BR>\n" );
document.write( "    [-3/-2   1/-2]\r<BR>\n" );
document.write( "\n" );
document.write( "  X=A^-1*B<BR>\n" );
document.write( "X=[4/-2 -2/-2][6]<BR>\n" );
document.write( "  [-3/-2 1/-2][2]<BR>\n" );
document.write( " =[4/-2*6 + -2/-2*2]<BR>\n" );
document.write( "  [-3/-2*6+ 1/-2*2]<BR>\n" );
document.write( "[-12+2]<BR>\n" );
document.write( "[9-1]<BR>\n" );
document.write( "X= [-10]<BR>\n" );
document.write( "   [8]\r<BR>\n" );
document.write( "\n" );
document.write( "[x]=[-10]<BR>\n" );
document.write( "[y]=[8]\r<BR>\n" );
document.write( "\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );