document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166945>Question 166945</A>: <I><SPAN STYLE=\"word-break: break-all;\"> help me solve: The sum of 2 numbers is 40 and their difference is 18 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122980 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of 2 numbers is 40 and their difference is 18<BR>\n" );
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document.write( "Let x = one of two numbers<BR>\n" );
document.write( "and y = the second number<BR>\n" );
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document.write( "x + y = 40<BR>\n" );
document.write( "x - y = 18<BR>\n" );
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document.write( "Using the \"elimination method\" add the two equations together:<BR>\n" );
document.write( "x + y = 40<BR>\n" );
document.write( "x - y = 18<BR>\n" );
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document.write( "2x = 58<BR>\n" );
document.write( "x = 29<BR>\n" );
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document.write( "Substitute the above into:<BR>\n" );
document.write( "x + y = 40<BR>\n" );
document.write( "29 + y = 40<BR>\n" );
document.write( "y = 40 - 29<BR>\n" );
document.write( "y = 11<BR>\n" );
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document.write( "The two numbers are 29 and 11<BR>\n" );
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