document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4993>Question 4993</A>: <I><SPAN STYLE=\"word-break: break-all;\"> translate to a system of equations and solve.\r<BR>\n" );
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document.write( "the sum of two numbers is 27. one half of the first number plus one third of the second number is 11. find the numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2484 by </B><A HREF=/tutors/aboutme.mpl?userid=xcentaur><B>xcentaur(357)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=xcentaur><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=2484\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the numbers be x and y<BR>\n" );
document.write( "x+y=27.........[1]<BR>\n" );
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document.write( "one half of the first number plus one third of the second number is 11<BR>\n" );
document.write( "1/2x+1/3y=11<BR>\n" );
document.write( "(3x+2y)/6=11<BR>\n" );
document.write( "3x+2y=66........[2]<BR>\n" );
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document.write( "x+y=27<BR>\n" );
document.write( "multiply by 2<BR>\n" );
document.write( "2x+2y=54.......[1]<BR>\n" );
document.write( "3x+2y=66.......[2]<BR>\n" );
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document.write( "subtracting eqn 2 from 1 we get<BR>\n" );
document.write( "2x+2y=54<BR>\n" );
document.write( "3x+2y=66<BR>\n" );
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document.write( "-x=-12<BR>\n" );
document.write( "x=12<BR>\n" );
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document.write( "y=27-x=27-12=15<BR>\n" );
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document.write( "Hence the numbers are:<BR>\n" );
document.write( "<B>12,15</b> </SPAN>\n" );
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