document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35691>Question 35691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/x + 1/y = 1/2\r<BR>\n" );
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document.write( "solve for x and y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21819 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve for either x or y, the first step is to clear the fractions by  multiplying both sides by the LCD which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xy ALIGN=MIDDLE  ALT=\"2xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx+%2B+1%2Fy+=+1%2F2 ALIGN=MIDDLE  ALT=\"1%2Fx+%2B+1%2Fy+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xy%2A%281%2Fx%29+%2B+2xy%2A%281%2Fy%29++=+2xy%2A%281%2F2%29 ALIGN=MIDDLE  ALT=\"2xy%2A%281%2Fx%29+%2B+2xy%2A%281%2Fy%29++=+2xy%2A%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+%2B+2x+=+xy+ ALIGN=MIDDLE  ALT=\"2y+%2B+2x+=+xy+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, to solve for x, get all the x terms on one side by subtracting 2x from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+=+xy+-+2x ALIGN=MIDDLE  ALT=\"2y+=+xy+-+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor the x, so as to get the x's all in one place:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+=+x%28y-2%29+ ALIGN=MIDDLE  ALT=\"2y+=+x%28y-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by (y-2):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282y%29%2F%28y-2%29+=+%28x%2A%28y-2%29%29%2F%28y-2%29 ALIGN=MIDDLE  ALT=\"%282y%29%2F%28y-2%29+=+%28x%2A%28y-2%29%29%2F%28y-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282y%29%2F%28y-2%29+=+x ALIGN=MIDDLE  ALT=\"%282y%29%2F%28y-2%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "NOW, to solve for y in terms of x, go back to the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+%2B+2x+=+xy+ ALIGN=MIDDLE  ALT=\"2y+%2B+2x+=+xy+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "To solve for y, get all the y terms on one side by subtracting 2y from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+xy+-+2y ALIGN=MIDDLE  ALT=\"2x+=+xy+-+2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor the y, so as to get the y's all in one place:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+y%28x-2%29+ ALIGN=MIDDLE  ALT=\"2x+=+y%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by (x-2):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%2F%28x-2%29+=+%28y%2A%28x-2%29%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%282x%29%2F%28x-2%29+=+%28y%2A%28x-2%29%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%2F%28x-2%29+=+y ALIGN=MIDDLE  ALT=\"%282x%29%2F%28x-2%29+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC<BR>\n" );
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