document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036064>Question 1036064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if 1/x=a+b , 1/y=a-b, x+y=?<BR>\n" );
document.write( "pls show me how to solve it thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650647 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx=a%2Bb ALIGN=MIDDLE  ALT=\"1%2Fx=a%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fy=a-b ALIGN=MIDDLE  ALT=\"1%2Fy=a-b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we are able to switch x with a+b and y with a-b...it takes two steps but it is perfectly proper...this gives us<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1%2F%28a%2Bb%29 ALIGN=MIDDLE  ALT=\"x+=+1%2F%28a%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+1%2F%28a-b%29 ALIGN=MIDDLE  ALT=\"y+=+1%2F%28a-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so that<BR>\n" );
document.write( "x + y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28a%2Bb%29+%2B+1%2F%28a-b%29 ALIGN=MIDDLE  ALT=\"1%2F%28a%2Bb%29+%2B+1%2F%28a-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now to combine these, there is a shortcut, but let us just change both fractions to their common denominator (a+b)(a-b)...like this<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-b%29%2F%28%28a%2Bb%29%28a-b%29%29+%2B+%28a%2Bb%29%2F%28%28a%2Bb%29%28a-b%29%29 ALIGN=MIDDLE  ALT=\"%28a-b%29%2F%28%28a%2Bb%29%28a-b%29%29+%2B+%28a%2Bb%29%2F%28%28a%2Bb%29%28a-b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2F%28%28a%2Bb%29%28a-b%29%29 ALIGN=MIDDLE  ALT=\"2a%2F%28%28a%2Bb%29%28a-b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );