document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=611205>Question 611205</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Translate the problem situation to a system of equations. Do not solve. The difference between two numbers is 1. Three times the smaller number plus the larger number is 29. What are 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 #385005 by </B><A HREF=/tutors/aboutme.mpl?userid=SwiftAlbatross><B>SwiftAlbatross(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=SwiftAlbatross><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=SwiftAlbatross><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=385005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = larger number<BR>\n" );
document.write( "Let y = smaller number\r<BR>\n" );
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document.write( "x - y = 1<BR>\n" );
document.write( "3y + x = 29\r<BR>\n" );
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document.write( "To solve:<BR>\n" );
document.write( "x - y = 1<BR>\n" );
document.write( "x = y + 1<BR>\n" );
document.write( "Substitute:<BR>\n" );
document.write( "3y + x = 29<BR>\n" );
document.write( "3y + y + 1 = 29<BR>\n" );
document.write( "4y + 1 = 29<BR>\n" );
document.write( "4y = 28<BR>\n" );
document.write( "y = 7\r<BR>\n" );
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document.write( "x = 8 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );