document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077191>Question 1077191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all integers x for which there exists an integer y such that<BR>\n" );
document.write( "1/x + 1/y = 1/7<BR>\n" );
document.write( "(In other words, find all ordered pairs of integers (x,y) that satisfy this equation, then enter just the x's from these pairs.)<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 #691737 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=691737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I get 8, 14, and 56\r<BR>\n" );
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document.write( "I rearranged <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx+%2B+1%2Fy+=+1%2F7+ ALIGN=MIDDLE  ALT=\"1%2Fx+%2B+1%2Fy+=+1%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=7x%2F%28x-7%29 ALIGN=MIDDLE  ALT=\"+y=7x%2F%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then looking at the right hand side:\r<BR>\n" );
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document.write( "    x-7 must divide 7x evenly, which happens for x=8, 14, and 56. <BR>\n" );
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