document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152619>Question 152619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1 The sum of two numbers is 12.  One number is 5 times the other.  Can you write the algebraic expressions for these two equations?  Can you tell me what the two numbers are?<BR>\n" );
document.write( "I know it is 10 and 2 but need all algebraic expressions\r<BR>\n" );
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document.write( "2. We know that if you multiply two negative numbers together you always get a positive number.  We know that if you perform an arithmetic operation on rational numbers you always get a rational number as the answer.  Are there any such rules for irrational numbers?  Give examples.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112194 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=112194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First number is x.,<BR>\n" );
document.write( "Second number is y.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=12 ALIGN=MIDDLE  ALT=\"x%2By=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5y ALIGN=MIDDLE  ALT=\"x=5y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can then substitute eq. 2 into eq. 1.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=12 ALIGN=MIDDLE  ALT=\"x%2By=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2By=12 ALIGN=MIDDLE  ALT=\"5y%2By=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y=12 ALIGN=MIDDLE  ALT=\"6y=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then from 2,<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5y ALIGN=MIDDLE  ALT=\"x=5y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5%282%29 ALIGN=MIDDLE  ALT=\"x=5%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10 ALIGN=MIDDLE  ALT=\"x=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The rules for irrational numbers are similar.<BR>\n" );
document.write( "Adding or subtracting two irrational numbers gives an irrational number.<BR>\n" );
document.write( "Multiplying or dividing irrational numbers can give either rational or irrational numbers.<BR>\n" );
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document.write( "Examples: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2Asqrt%285%29=sqrt%2810%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2Asqrt%285%29=sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Irrational number<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2Asqrt%282%29=2 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2Asqrt%282%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rational number<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29%2Fsqrt%282%29=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%286%29%2Fsqrt%282%29=sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Irrational number<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29%2Fsqrt%285%29=1 ALIGN=MIDDLE  ALT=\"sqrt%285%29%2Fsqrt%285%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rational number </SPAN>\n" );
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