document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35538>Question 35538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! My college professor told me the answer to this problem. The answer is:<BR>\n" );
document.write( "x + y/ x - y. I do not know how to work the problem, and I need to know! The problem is 1/x + 1/y/ 1/y - 1/x. Please simplify the expression, and show all work. Thank you very much for the help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21689 by </B><A HREF=/tutors/aboutme.mpl?userid=elima><B>elima(1433)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=elima><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=21689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bare with me and I will try to explain;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fx+%2B+1%2Fy%29%2F%281%2Fy+-1%2Fx%29 ALIGN=MIDDLE  ALT=\"%281%2Fx+%2B+1%2Fy%29%2F%281%2Fy+-1%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When you add or subtract fractions you need LCD;<BR>\n" );
document.write( "so we will start with the numerator;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%2B1%2Fy ALIGN=MIDDLE  ALT=\"1%2Fx%2B1%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply the first side by y; and the second by x;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%291%2F%28y%29x%2B%28x%291%2F%28x%29y ALIGN=MIDDLE  ALT=\"%28y%291%2F%28y%29x%2B%28x%291%2F%28x%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Fxy%2Bx%2Fxy ALIGN=MIDDLE  ALT=\"y%2Fxy%2Bx%2Fxy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now you have common denominators so you can add;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2Bx%29%2Fxy ALIGN=MIDDLE  ALT=\"%28y%2Bx%29%2Fxy\"   DISABLED_style= \"max-width:90%; height:auto;\" >; now do the same thing with the denominator;<BR>\n" );
document.write( "1/y -1/x<BR>\n" );
document.write( "multiply the first side by x and the second by y;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%291%2F%28x%29y ALIGN=MIDDLE  ALT=\"%28x%291%2F%28x%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" >-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%291%2F%28y%29x ALIGN=MIDDLE  ALT=\"%28y%291%2F%28y%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fxy-y%2Fxy ALIGN=MIDDLE  ALT=\"x%2Fxy-y%2Fxy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-y%29%2Fxy ALIGN=MIDDLE  ALT=\"%28x-y%29%2Fxy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now lets but the equation back together;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y%2Bx%29%2F%28xy%29%29%2F%28%28x-y%29%2Fxy%29 ALIGN=MIDDLE  ALT=\"%28%28y%2Bx%29%2F%28xy%29%29%2F%28%28x-y%29%2Fxy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, when you divide fractions the second term is inversed(reciprocal), and you mulitply;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y%2Bx%29%2Fxy%29 ALIGN=MIDDLE  ALT=\"%28%28y%2Bx%29%2Fxy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28xy%2F%28x-y%29%29 ALIGN=MIDDLE  ALT=\"%28xy%2F%28x-y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now cross cancel;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2By%29%2Fxy%29+%2A%28xy%2F%28x-y%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2By%29%2Fxy%29+%2A%28xy%2F%28x-y%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=%28x%2By%29%2F%28x-y%29 ALIGN=MIDDLE  ALT=\"%28x%2By%29%2F%28x-y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hope you were able to bare with me and understand<BR>\n" );
document.write( "=) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );