document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102863>Question 102863</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh>algebra structure and method book1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi-\r<BR>\n" );
document.write( "\n" );
document.write( "I know the answer to the problem. 7, 8  but I do not know how to come up with the equation or show how to solve it.   HELP\r<BR>\n" );
document.write( "\n" );
document.write( "The sum of two numbers is 15.  Three times one of the numbers is 11 less than five times the other.  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 #74793 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=74793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 15. Three times one of the numbers is 11 less than five times the other. Find the numbers.<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "x+y = 15<BR>\n" );
document.write( "3x+11 = 5y<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "1x +1y =  15<BR>\n" );
document.write( "3x -5y = -11<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Multiply thru 1st by 3 to get:<BR>\n" );
document.write( "3x+3y = 45<BR>\n" );
document.write( "3x-5y = -11<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Subtract 2nd from 1st to get:<BR>\n" );
document.write( "8y = 56<BR>\n" );
document.write( "y = 7 (one of the numbers)<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Substitute into x+y=15 to solve for x:<BR>\n" );
document.write( "x+7=15<BR>\n" );
document.write( "x = 8 (the other number)<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );