document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=950616>Question 950616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The question to the problem is, \"The larger of the two numbers is eight more than four times smaller. If the larger is increased by four times the smaller the result is 40. Find the numbers using elimination.\" I need help setting up the equations.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #580475 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=580475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Make the equations exactly as described.  <s>Nothing strange here</s>.  Some lack of clarity in , \"increased by four times the smaller\".  That does not mean \"more than\" or \"less than\".\r<BR>\n" );
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document.write( "x and y, the numbers, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3Cy ALIGN=MIDDLE  ALT=\"x%3Cy\"   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=system%28y=8%2B4x%2C%28y%2A4x%29=40%29 ALIGN=MIDDLE  ALT=\"system%28y=8%2B4x%2C%28y%2A4x%29=40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Elimination Method is not applicable here.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Ax=10 ALIGN=MIDDLE  ALT=\"y%2Ax=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, simplified second part.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2B4x%29%2Ax=10 ALIGN=MIDDLE  ALT=\"%288%2B4x%29%2Ax=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, substituted for y from first part.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2B2x%29x=5 ALIGN=MIDDLE  ALT=\"%284%2B2x%29x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B4x=5 ALIGN=MIDDLE  ALT=\"2x%5E2%2B4x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B4x-5=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B4x-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factorable?<BR>\n" );
document.write( "(2x____5)(x____1), no.<BR>\n" );
document.write( "(2x____1)(x_____5), no.\r<BR>\n" );
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document.write( "Discriminant to prepare for general quadratic formula solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16-4%2A2%2A%28-5%29 ALIGN=MIDDLE  ALT=\"16-4%2A2%2A%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2B8%2A5 ALIGN=MIDDLE  ALT=\"16%2B8%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56 ALIGN=MIDDLE  ALT=\"56\"   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=x=%28-4%2B-+sqrt%2856%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28-4%2B-+sqrt%2856%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-4%2B-+2%2Asqrt%2814%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28-4%2B-+2%2Asqrt%2814%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2%2B-+sqrt%2814%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-2%2B-+sqrt%2814%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Trying just the plussquare root form,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8%2B4x=8%2B4%28highlight%28%28-2%2Bsqrt%2814%29%29%2F2%29%29 ALIGN=MIDDLE  ALT=\"y=8%2B4x=8%2B4%28highlight%28%28-2%2Bsqrt%2814%29%29%2F2%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=8%2B2%28-2%2Bsqrt%2814%29%29 ALIGN=MIDDLE  ALT=\"8%2B2%28-2%2Bsqrt%2814%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=8-4%2B2sqrt%2814%29 ALIGN=MIDDLE  ALT=\"8-4%2B2sqrt%2814%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=4%2B2%2Asqrt%2814%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=4%2B2%2Asqrt%2814%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  for one possible combination x and y.\r<BR>\n" );
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document.write( "You can check on the other combination. </SPAN>\n" );
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