document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42465>Question 42465</A>: <I><SPAN STYLE=\"word-break: break-all;\">      2        2<BR>\n" );
document.write( "(x+y) + (x+3y) - 10(x+3y) - 4(x+y) +29 = 0 , find the value from next expresion\r<BR>\n" );
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document.write( "  2<BR>\n" );
document.write( "2y + xy\r<BR>\n" );
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document.write( "This problem is not from textbook. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27618 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=27618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5E2+%2B+%28x%2B3y%29%5E2+-+10%28x%2B3y%29+-+4%28x%2By%29+%2B29+=+0 ALIGN=MIDDLE  ALT=\"%28x%2By%29%5E2+%2B+%28x%2B3y%29%5E2+-+10%28x%2B3y%29+-+4%28x%2By%29+%2B29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This looks like a neat problem.  Let's rearrange it and see if this helps sort it out, and subtract 29 from each side while you are at it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5E2+-+4%28x%2By%29+%2B+_____+%2B+%28x%2B3y%29%5E2+-10%28x%2B3y%29+%2B+_____+=+-29+%2B+_____%2B_____ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice that you can \"complete the square\" (remember \"half and square\"??) on each of these quantities, by adding 4 on the first blank and 25 on the second blank.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5E2+-+4%28x%2By%29+%2B+4+%2B+%28x%2B3y%29%5E2+-10%28x%2B3y%29+%2B+25+=+-29+%2B+4%2B25 ALIGN=MIDDLE   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%5E2+-+4%28x%2By%29+%2B+4+%2B+%28x%2B3y%29%5E2+-10%28x%2B3y%29+%2B+25+=+0 ALIGN=MIDDLE  ALT=\"%28x%2By%29%5E2+-+4%28x%2By%29+%2B+4+%2B+%28x%2B3y%29%5E2+-10%28x%2B3y%29+%2B+25+=+0\"   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-2%29%5E2++%2B+%28x%2B3y-5%29%5E2+=+0 ALIGN=MIDDLE  ALT=\"++%28x%2By-2%29%5E2++%2B+%28x%2B3y-5%29%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the sum of two squares equals zero, this means that each quantity squared must equal zero!\r<BR>\n" );
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document.write( "x+y-2=0 and x+3y-5=0\r<BR>\n" );
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document.write( "x+y=2<BR>\n" );
document.write( "x+3y=5\r<BR>\n" );
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document.write( "Solve by elimination:<BR>\n" );
document.write( "-x-y=-2<BR>\n" );
document.write( "x+3y=5\r<BR>\n" );
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document.write( "So, 2y = 3, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%2F2 ALIGN=MIDDLE  ALT=\"y=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x+y=2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%283%2F2%29=2 ALIGN=MIDDLE  ALT=\"x%2B%283%2F2%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F2 ALIGN=MIDDLE  ALT=\"x=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "NOW, you wanted 2y^2 + xy=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%289%2F4%29%2B%281%2F2%29%2A%283%2F2%29=+%2818%2F4%29%2B%283%2F4%29=21%2F4 ALIGN=MIDDLE  ALT=\"2%2A%289%2F4%29%2B%281%2F2%29%2A%283%2F2%29=+%2818%2F4%29%2B%283%2F4%29=21%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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