document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=612625>Question 612625</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 9 and their difference is 6. What are the two numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #385631 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=385631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     The sum of two numbers is 9 antheir difference is 6. What are the two numbers?<BR>\n" );
document.write( "Let x,y be the two number<BR>\n" );
document.write( "then from \"sum of two numbers is 9\" we have:<BR>\n" );
document.write( "x+y = 9 (equation 1)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "and from \"their difference is 6\" we have:<BR>\n" );
document.write( "x-y = 6 (equation 2)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "applying \"elimination method\" we combine both equations together:<BR>\n" );
document.write( "x+y = 9<BR>\n" );
document.write( "x-y = 6<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "2x  = 15<BR>\n" );
document.write( "x = 15/2<BR>\n" );
document.write( "x = 7.5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "to find y, we substitute above into equation 1:<BR>\n" );
document.write( "x+y = 9<BR>\n" );
document.write( "7.5+y = 9<BR>\n" );
document.write( "y = 9-7.5<BR>\n" );
document.write( "y = 1.5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "the two numbers are 7.5 and 1.5<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );