document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=352819>Question 352819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't understand how to arrive at the answers to the following problems:\r<BR>\n" );
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document.write( "A)One number is 2 more than 5 times another. Their product is 24. Find the numbers.\r<BR>\n" );
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document.write( "B) One number is 4 times another. Their product is 4 times their sum. Find the numbers.\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #252186 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=252186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x=one number<BR>\n" );
document.write( "let y=the other number<BR>\n" );
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document.write( "you are given:  One number is 2 more than 5 times another<BR>\n" );
document.write( "x=2+5y<BR>\n" );
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document.write( "also you are told: Their product is 24<BR>\n" );
document.write( "x*y=24<BR>\n" );
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document.write( "substitute x=2+5y into x*y=24 in order to reduce the problem by one variable<BR>\n" );
document.write( "x*y=(2+5y)*y=24<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%2B5y%5E2=24+ ALIGN=MIDDLE  ALT=\"2y%2B5y%5E2=24+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%5E2%2B2y-24=0 ALIGN=MIDDLE  ALT=\"5y%5E2%2B2y-24=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "use the quadratic formula to solve for y<BR>\n" );
document.write( "where a=5, b=2 and c=-24<BR>\n" );
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document.write( "y=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2-Sqrt%28%28-2%29%5E2-4%2A5%2A%28-24%29%29%29%2F%282%2A5%29 ALIGN=MIDDLE  ALT=\"%28-2-Sqrt%28%28-2%29%5E2-4%2A5%2A%28-24%29%29%29%2F%282%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2BSqrt%28%28-2%29%5E2-4%2A5%2A%28-24%29%29%29%2F%282%2A5%29 ALIGN=MIDDLE  ALT=\"y=%28-2%2BSqrt%28%28-2%29%5E2-4%2A5%2A%28-24%29%29%29%2F%282%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "y=(-2-22)/10=-2.4  or y=(-2+22)/10=2<BR>\n" );
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document.write( "substitute y=-2.4 or y=2 into x=2+5y to find x<BR>\n" );
document.write( "x=2+5(-2.4)=-10 and x=2+5*(2)=12<BR>\n" );
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document.write( "so the possible answers are x=-10 and y=-2.4 or x=12 and y=2\r<BR>\n" );
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document.write( " </SPAN>\n" );
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