document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=377661>Question 377661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of one-third a number and half of a second number is 7. the difference between the second number and two-thirds of the first number is 2. what is each number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268383 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=268383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of one-third a number and half of a second number is 7. the difference between the second number and two-thirds of the first number is 2. what is each number?<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "(1/3)x + (1/2)y = 7<BR>\n" );
document.write( "y - (2/3)x) = 2<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Rearrange and simplify:<BR>\n" );
document.write( "3y + 2x = 42<BR>\n" );
document.write( "3y - 2x = 6<BR>\n" );
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document.write( "6y = 48<BR>\n" );
document.write( "y = 8<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Substitute and solve for \"x\":<BR>\n" );
document.write( "24 - 2x = 6<BR>\n" );
document.write( "2x = 18<BR>\n" );
document.write( "x = 9 <BR>\n" );
document.write( "===========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );