document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=421066>Question 421066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of two numbers is 16, and the difference is 6, what is their product? cannot be 60 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294056 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=294056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb+=+16 ALIGN=MIDDLE  ALT=\"a%2Bb+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-b+=+6 ALIGN=MIDDLE  ALT=\"a-b+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >. There are two solutions:\r<BR>\n" );
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document.write( "Solution 1:<BR>\n" );
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document.write( "We can solve the system by adding both equations to produce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a+=+22 ALIGN=MIDDLE  ALT=\"2a+=+22\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+11 ALIGN=MIDDLE  ALT=\"a+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Replace a with 11 in either equation to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+5 ALIGN=MIDDLE  ALT=\"b+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab+=+55 ALIGN=MIDDLE  ALT=\"ab+=+55\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Solution 2:<BR>\n" );
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document.write( "We can square both equations to obtain<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+2ab+%2B+b%5E2+=+256 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+2ab+%2B+b%5E2+=+256\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+2ab+%2B+b%5E2+=+36 ALIGN=MIDDLE  ALT=\"a%5E2+-+2ab+%2B+b%5E2+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtracting the second equation from the first, we obtain <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4ab+=+220 ALIGN=MIDDLE  ALT=\"4ab+=+220\"   DISABLED_style= \"max-width:90%; height:auto;\" > which implies <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab+=+55 ALIGN=MIDDLE  ALT=\"ab+=+55\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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