document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89045>Question 89045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i.  Explain how to apply elimination in solving a system of equations. \r<BR>\n" );
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document.write( "ii. Explain how to apply substitution in solving a system of equations. \r<BR>\n" );
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document.write( "iii.  Demonstrate each technique in solving the system\r<BR>\n" );
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document.write( "1. 3x + 9y = 12 \r<BR>\n" );
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document.write( "2. 5x - 4y = 3 \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64734 by </B><A HREF=/tutors/aboutme.mpl?userid=malakumar_kos@yahoo.com><B>malakumar_kos@yahoo.com(315)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=malakumar_kos@yahoo.com><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=64734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "   i. Explain how to apply elimination in solving a system of equations. <BR>\n" );
document.write( "ii. Explain how to apply substitution in solving a system of equations. <BR>\n" );
document.write( "iii. Demonstrate each technique in solving the system \r<BR>\n" );
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document.write( "   To solve a system of linear equation  by elimination  process\r<BR>\n" );
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document.write( "   1)Bring the co-efficient of any one variable to the same .\r<BR>\n" );
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document.write( "   2)  If the signs of both variable are same  (having the same co-efficients)<BR>\n" );
document.write( "         then subtract the two eq's.\r<BR>\n" );
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document.write( "   3)If the signs are different   then add the two eq'ns   so that like terms get eliminated.<BR>\n" );
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document.write( "   4)The value of one variable is calculated<BR>\n" );
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document.write( "   5)By subtituting the value of known variable   unknown variable can be \r<BR>\n" );
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document.write( "         found.\r<BR>\n" );
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document.write( "    solution: 1. 3x + 9y = 12 \r<BR>\n" );
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document.write( "               2. 5x - 4y = 3 \r<BR>\n" );
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document.write( "             1)L.C.M  of 3,5 = 15 hence bring the co-efficient of x to 15\r<BR>\n" );
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document.write( "               multiply eq'n(1) by 5 ,  and eq'n(2) by 3. The two eq'ns \r<BR>\n" );
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document.write( "               reduces to  15x+45y = 60<BR>\n" );
document.write( "                           15x-12y = 9\r<BR>\n" );
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document.write( "              2) subtract the two  eq'ns  we get  57y = 51 , y = 51/57\r<BR>\n" );
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document.write( "              3) substituting the value of y in eq'n (1) we get<BR>\n" );
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document.write( "                    3x+9(51/57) = 12\r<BR>\n" );
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document.write( "                             3x = 12- (459/57) = 684-459/57 = 225/57\r<BR>\n" );
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document.write( "                             x = 225/57*3 = 75/57 \r<BR>\n" );
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document.write( "                   solution is x = 75/57   and y = 51/57\r<BR>\n" );
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document.write( "                 \r<BR>\n" );
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