document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970199>Question 970199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A positive integer is 8 more than 15 times another. Their product is 272. Find the two integers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592967 by </B><A HREF=/tutors/aboutme.mpl?userid=erica65404><B>erica65404(394)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=erica65404><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=erica65404><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592967\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> positive interger = x<BR>\n" );
document.write( "other integer = y\r<BR>\n" );
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document.write( "A positive integer is 8 more than 15 times another.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8%2B15y ALIGN=MIDDLE  ALT=\"x=8%2B15y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Their product is 272.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=272 ALIGN=MIDDLE  ALT=\"xy=272\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now use the first equation to solve for b in the second<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8%2B15y ALIGN=MIDDLE  ALT=\"x=8%2B15y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=272 ALIGN=MIDDLE  ALT=\"xy=272\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2B15y%29y=272 ALIGN=MIDDLE  ALT=\"%288%2B15y%29y=272\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y%2B15y%5E2=272 ALIGN=MIDDLE  ALT=\"8y%2B15y%5E2=272\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15y%5E2%2B8y-272=0 ALIGN=MIDDLE  ALT=\"15y%5E2%2B8y-272=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use the quadratic formula to find the values for y.\r<BR>\n" );
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document.write( "a=15<BR>\n" );
document.write( "b=8<BR>\n" );
document.write( "c=-272<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8+%2B-+sqrt%28+8%5E2-4%2A15%2A%28-272%29+%29%29%2F%282%2A15%29+ ALIGN=MIDDLE  ALT=\"%28-8+%2B-+sqrt%28+8%5E2-4%2A15%2A%28-272%29+%29%29%2F%282%2A15%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8+%2B-+sqrt%28+16384+%29%29%2F%2830%29+ ALIGN=MIDDLE  ALT=\"%28-8+%2B-+sqrt%28+16384+%29%29%2F%2830%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8+%2B-+128%29%2F30 ALIGN=MIDDLE  ALT=\"%28-8+%2B-+128%29%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "y can be either 4 or -4.5.<BR>\n" );
document.write( "But the correct value for y is 4.<BR>\n" );
document.write( "the reason for this is because the first value is positive.<BR>\n" );
document.write( "the product of the 2 numbers (x and y) is a positive 272. so y would have to be positive for this to be true.\r<BR>\n" );
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document.write( "to find x, use the second equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=272 ALIGN=MIDDLE  ALT=\"xy=272\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A4=272 ALIGN=MIDDLE  ALT=\"x%2A4=272\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=68 ALIGN=MIDDLE  ALT=\"x=68\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x is 68 and y is 4.\r<BR>\n" );
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document.write( "If you have questions, email me at ericahigley@yahoo.com </SPAN>\n" );
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