document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=713394>Question 713394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two integers is twenty-four. The difference between four times the smaller integer and nine is three less than twice the larger integer. Find the integers. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438463 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=438463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=24 ALIGN=MIDDLE  ALT=\"x%2By=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "and <BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3Cy ALIGN=MIDDLE  ALT=\"x%3Cy\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%284x-9%29=-3%2B2y ALIGN=MIDDLE  ALT=\"abs%284x-9%29=-3%2B2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Hard to know if 4x-9 is positive or negative.  Lets first assume it's positive.  We could then say 4x-9=2y-3 and then<BR>\n" );
document.write( "4x-2y=9-3<BR>\n" );
document.write( "4x-2y=6<BR>\n" );
document.write( "2x-y=3\r<BR>\n" );
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document.write( "Will this condition continue to work?<BR>\n" );
document.write( "From first equation, x=24-y.<BR>\n" );
document.write( "2(24-y)-y=3<BR>\n" );
document.write( "48-2y-y=3<BR>\n" );
document.write( "48-3y=3<BR>\n" );
document.write( "48-3=3y<BR>\n" );
document.write( "45=3y<BR>\n" );
document.write( "y=15.\r<BR>\n" );
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document.write( "Now we still want to find x, and remember, we must use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3Cy ALIGN=MIDDLE  ALT=\"x%3Cy\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Based on x=24-y, x=24-15, x=9.  Good!  This worked.\r<BR>\n" );
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document.write( "Final Answer: x=9 and y=15. </SPAN>\n" );
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