document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210519>Question 210519</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780495105527/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have tried multiple times to solve this problem, but each time I get the wrong answer ( I've checked in the back of the book).\r<BR>\n" );
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document.write( "Question: \" The difference of two numbers is 67. The larger number is three less than six times the smaller number. Find the numbers.\"\r<BR>\n" );
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document.write( "I tried solving it like this:<BR>\n" );
document.write( "x-y=67 <BR>\n" );
document.write( "larger number=6y-3<BR>\n" );
document.write( "(6y-3)-y=67<BR>\n" );
document.write( "The answers in the back of the book says 14 and 81. I am so lost in how they found that answer.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159059 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=159059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference of two numbers is 67. The larger number is three less than six times the smaller number. Find the numbers.\" <BR>\n" );
document.write( "I tried solving it like this:<BR>\n" );
document.write( "x-y=67 <BR>\n" );
document.write( "larger number=6y-3<BR>\n" );
document.write( "(6y-3)-y=67<BR>\n" );
document.write( "The answers in the back of the book says 14 and 81.<BR>\n" );
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document.write( "Since x-y = 67, the \"x\" must be the larger number.<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x = 6y-3<BR>\n" );
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document.write( "Substitute that into x-y=67 to get:<BR>\n" );
document.write( "6y-3 - y = 67<BR>\n" );
document.write( "5y = 70<BR>\n" );
document.write( "y = 14<BR>\n" );
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document.write( "Substitute that and solve for \"x\":<BR>\n" );
document.write( "x = 6*14 -3<BR>\n" );
document.write( "x = 84-3<BR>\n" );
document.write( "x = 81<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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