document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=665633>Question 665633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of  numbers is 10 the sum of their squares is 68. Find the numbers?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413981 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=413981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + y = 10, x = 10-y<BR>\n" );
document.write( "x^2 + y^2 = 68<BR>\n" );
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document.write( "Substitute x into the second equation<BR>\n" );
document.write( "(10-y)^2 + y^2 = 68<BR>\n" );
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document.write( "(10-y)(10-y) + y^2 = 68<BR>\n" );
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document.write( "100 - 10y - 10y + y^2 + y^2 = 68<BR>\n" );
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document.write( "100 - 20y + 2y^2 = 68<BR>\n" );
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document.write( "2y^2 - 20y + 32 = 0<BR>\n" );
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document.write( "(2y-4)(y-8)<BR>\n" );
document.write( "2y-4=0, so y = 2<BR>\n" );
document.write( "y-8=0, so y = 8<BR>\n" );
document.write( "...<BR>\n" );
document.write( "The numbers are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282%29 ALIGN=MIDDLE  ALT=\"highlight%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%288%29 ALIGN=MIDDLE  ALT=\"highlight%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Check <BR>\n" );
document.write( "perimeter:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cartoon%28%0D%0A8+%2B+2%2C%0D%0A10%29 ALIGN=MIDDLE  ALT=\"cartoon%28%0D%0A8+%2B+2%2C%0D%0A10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "area:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cartoon%28%0D%0A2%5E2+%2B+8%5E2%2C%0D%0A4+%2B+64%2C%0D%0A68%29 ALIGN=MIDDLE  ALT=\"cartoon%28%0D%0A2%5E2+%2B+8%5E2%2C%0D%0A4+%2B+64%2C%0D%0A68%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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