document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108520>Question 108520</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 42. One number plus 2 times the other number is 57. What are the numbers?\r<BR>\n" );
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document.write( "The sum of two numbers is 45. Their difference is 9. What are the numbers?\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 #79169 by </B><A HREF=/tutors/aboutme.mpl?userid=elima><B>elima(1433)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=elima><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=79169\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 42. One number plus 2 times the other number is 57. What are the numbers?<BR>\n" );
document.write( "x+y=42<BR>\n" );
document.write( "x+2y=57<BR>\n" );
document.write( "Lets solve by elimination;<BR>\n" );
document.write( "so we will multiply the first equation by -1;<BR>\n" );
document.write( "(-1)x+y=42<BR>\n" );
document.write( "-x-y=-42<BR>\n" );
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document.write( "Now we will add that equation to the second;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28-x%29-y=-42 ALIGN=MIDDLE  ALT=\"cross%28-x%29-y=-42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28x%29%2B2y=57 ALIGN=MIDDLE  ALT=\"cross%28x%29%2B2y=57\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( " y=15<BR>\n" );
document.write( "now plug that into either original equation to find x;<BR>\n" );
document.write( "x+15=42<BR>\n" );
document.write( "x=27<BR>\n" );
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document.write( "The sum of two numbers is 45. Their difference is 9. What are the numbers?<BR>\n" );
document.write( "x+y=45<BR>\n" );
document.write( "x-y=9<BR>\n" );
document.write( "Since one variable will already be eliminated we will not need to multiply anything;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bcross%28y%29=45 ALIGN=MIDDLE  ALT=\"x%2Bcross%28y%29=45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-cross%28y%29=9 ALIGN=MIDDLE  ALT=\"x-cross%28y%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "_____________<BR>\n" );
document.write( "2x=54<BR>\n" );
document.write( "x=27<BR>\n" );
document.write( "plug that into either equation for x;<BR>\n" );
document.write( "27+y=45<BR>\n" );
document.write( "y=45-27<BR>\n" );
document.write( "y=18<BR>\n" );
document.write( ":)<BR>\n" );
document.write( "_________ </SPAN>\n" );
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