document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102682>Question 102682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two positive integers is 98. If they differ by 7, what are the integer?<BR>\n" );
document.write( "Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74694 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=74694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the integers be x and y, then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ay+=+98 ALIGN=MIDDLE  ALT=\"x%2Ay+=+98\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-x+=+7 ALIGN=MIDDLE  ALT=\"y-x+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite this as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%2B7 ALIGN=MIDDLE  ALT=\"y+=+x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute into the first equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B7%29+=+98 ALIGN=MIDDLE  ALT=\"x%28x%2B7%29+=+98\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7x+=+98 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x+=+98\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 98 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B7x-98+=+0 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x-98+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve this quadratic equation by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%28x%2B14%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-7%29%28x%2B14%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then x = 7<BR>\n" );
document.write( "y = x+7<BR>\n" );
document.write( "y = 7+7<BR>\n" );
document.write( "y = 14<BR>\n" );
document.write( "The two integers are: 7 and 14\r<BR>\n" );
document.write( "\n" );
document.write( "Check:<BR>\n" );
document.write( "7*14 = 98<BR>\n" );
document.write( "14-7 = 7 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );