document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=846596>Question 846596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Set up an equation and solve the problem.<BR>\n" );
document.write( "Find two integers whose product is 65 such that one of the integers is three more than one of the integers is three more than twice the other integer.\r<BR>\n" );
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document.write( "I have: <BR>\n" );
document.write( "x(y)=65<BR>\n" );
document.write( "x=2y+3\r<BR>\n" );
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document.write( "(2y+3) y=65<BR>\n" );
document.write( "2y^2+3y-65=0<BR>\n" );
document.write( "(2y^2+13y)+(-10y-65)=0<BR>\n" );
document.write( "y(2y+13)-5(2y+13)<BR>\n" );
document.write( "(2y+13) (y-5)<BR>\n" );
document.write( "2y+13=0  =-13/2<BR>\n" );
document.write( "y-5=0. =5\r<BR>\n" );
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document.write( "Webassign told me it was wrong and I just want to know how to do it. \r<BR>\n" );
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document.write( "Thank you so much!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #509826 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><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=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=509826\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello.  You were correct up until you stopped at y = -13/2 and 5.  The word problem says that both numbers have to be integers, and -13/2 is not an integer.  So, 5 would be one of the integers.  To find the other integer, substitute 5 for y in x = 2y + 3:\r<BR>\n" );
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document.write( "x = 2(5) + 3 -----> x = 13\r<BR>\n" );
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document.write( "So, your equation would be set up as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=65 ALIGN=MIDDLE  ALT=\"xy=65\"   DISABLED_style= \"max-width:90%; height:auto;\" > AND <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2y%2B3 ALIGN=MIDDLE  ALT=\"x=2y%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and your two integers would be 5 and 13 </SPAN>\n" );
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