document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59853>Question 59853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by elimination\r<BR>\n" );
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document.write( "4x+5y=-16<BR>\n" );
document.write( "5x-6y=-20 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41160 by </B><A HREF=/tutors/aboutme.mpl?userid=praseena><B>praseena(37)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseena><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=41160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x+5y=-16<BR>\n" );
document.write( "5x-6y=-20\r<BR>\n" );
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document.write( "Multiply the first equation by 6 and the second equation by 5\r<BR>\n" );
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document.write( "6(4x+5y)=6*-16<BR>\n" );
document.write( "6*4x+6*5y=-96<BR>\n" );
document.write( "24x+30y=-96   -------(a)\r<BR>\n" );
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document.write( "Multiply the second equation by 5,\r<BR>\n" );
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document.write( "   5 (5x-6y) =5*20\r<BR>\n" );
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document.write( " 5*5x - 5 * 6y = -100\r<BR>\n" );
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document.write( "25x - 30y = -100  ------(b)\r<BR>\n" );
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document.write( "Add equations (a) and (b)\r<BR>\n" );
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document.write( "===> 24x - 30y + 25x + 30y = -96 + - 100\r<BR>\n" );
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document.write( "===> 24x + 25y + -30y + 30y = -196\r<BR>\n" );
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document.write( "===> 49x = -196\r<BR>\n" );
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document.write( "Divide on both sides by 49\r<BR>\n" );
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document.write( "===> x = -196/49 = -4\r<BR>\n" );
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document.write( "Now substitute the value x=-4 in any one of the given pair of equations.\r<BR>\n" );
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document.write( "==>  4 * -4 + 5y = -16<BR>\n" );
document.write( "==> -16 + 5y = -16<BR>\n" );
document.write( "Add 16 on both sides\r<BR>\n" );
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document.write( "==> 5y = 0\r<BR>\n" );
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document.write( "Divide both sides by 5\r<BR>\n" );
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document.write( "==> y=0<BR>\n" );
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document.write( "So the solution for the given pair of equations is,x=-4 and x=0.\r<BR>\n" );
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document.write( "Bye </SPAN>\n" );
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