document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089003>Question 1089003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of three numbers is 11.  The sum of twice the first number, <BR>\n" );
document.write( "4 times the second number, and 5 times the third number is 30.  The <BR>\n" );
document.write( "difference between 6 times the first number and the second number <BR>\n" );
document.write( "is 47.  Find the three numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #703330 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=703330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the numbers be a, b, and c<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+11+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2a+%2B+4b+%2B+5c+=+30+ ALIGN=MIDDLE  ALT=\"+2a+%2B+4b+%2B+5c+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6a+-+b+=+47+ ALIGN=MIDDLE  ALT=\"+6a+-+b+=+47+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+6a+-+47+ ALIGN=MIDDLE  ALT=\"+b+=+6a+-+47+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+6a+-+47+%2B+c+=+11+ ALIGN=MIDDLE  ALT=\"+a+%2B+6a+-+47+%2B+c+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-7a+%2B+58+ ALIGN=MIDDLE  ALT=\"+c+=+-7a+%2B+58+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2a+%2B+4b+%2B+5%2A%28+-7a+%2B+58+%29+=+30+ ALIGN=MIDDLE  ALT=\"+2a+%2B+4b+%2B+5%2A%28+-7a+%2B+58+%29+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2a+%2B+4b+-+35a+%2B+290+=+30+ ALIGN=MIDDLE  ALT=\"+2a+%2B+4b+-+35a+%2B+290+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+33a+-+4b+=+260+ ALIGN=MIDDLE  ALT=\"+33a+-+4b+=+260+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply bth sides of (3) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+ ALIGN=MIDDLE  ALT=\"+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "subtract (3) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+33a+-+4b+=+260+ ALIGN=MIDDLE  ALT=\"+33a+-+4b+=+260+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-24a+%2B+4b+=+-188+ ALIGN=MIDDLE  ALT=\"+-24a+%2B+4b+=+-188+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9a+=+72+ ALIGN=MIDDLE  ALT=\"+9a+=+72+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+8+ ALIGN=MIDDLE  ALT=\"+a+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+6a+-+47+ ALIGN=MIDDLE  ALT=\"+b+=+6a+-+47+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+6%2A8+-+47+ ALIGN=MIDDLE  ALT=\"+b+=+6%2A8+-+47+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+48+-+47+ ALIGN=MIDDLE  ALT=\"+b+=+48+-+47+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+1+ ALIGN=MIDDLE  ALT=\"+b+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+11+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+%2B+1+%2B+c+=+11+ ALIGN=MIDDLE  ALT=\"+8+%2B+1+%2B+c+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+2+ ALIGN=MIDDLE  ALT=\"+c+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The numbers are 8, 1, and 2<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2a+%2B+4b+%2B+5c+=+30+ ALIGN=MIDDLE  ALT=\"+2a+%2B+4b+%2B+5c+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A8+%2B+4%2A1+%2B+5%2A2+=+30+ ALIGN=MIDDLE  ALT=\"+2%2A8+%2B+4%2A1+%2B+5%2A2+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16+%2B+4+%2B+10+=+30+ ALIGN=MIDDLE  ALT=\"+16+%2B+4+%2B+10+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30+=+30+ ALIGN=MIDDLE  ALT=\"+30+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "You can check (3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );