document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=435934>Question 435934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help on this word problem. The sum of three numbers is 18 the first is eight times the sum of the second and third. the sum of the first number and the last number is 11. find the numbers. \r<BR>\n" );
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document.write( "I put the first equation: x+y+z=18 and I also figured out the last one: x+z=11<BR>\n" );
document.write( "but i cant figure out the second equation:  The sum of three numbers is 18 the first is eight times the sum of the second and third. Can you please help me?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #301691 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=301691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of three numbers is 18 the first is eight times the sum of the second and third.<BR>\n" );
document.write( " the sum of the first number and the last number is 11. find the numbers. <BR>\n" );
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document.write( "The equation for,\"the first is eight times the sum of the second and third.\"<BR>\n" );
document.write( "x = 8(y+z)<BR>\n" );
document.write( "which is<BR>\n" );
document.write( "x = 8y + 8z<BR>\n" );
document.write( "We can write it<BR>\n" );
document.write( "x - 8y - 8z = 0<BR>\n" );
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document.write( "Multiply the 1st equation by 8, add to the above equation, <BR>\n" );
document.write( "8x + 8y + 8z = 144<BR>\n" );
document.write( "x  - 8y - 8z = 0<BR>\n" );
document.write( "---------------------addition eliminates y and z find x<BR>\n" );
document.write( "9x = 144<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2F9 ALIGN=MIDDLE  ALT=\"144%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 16 is the 1st number<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x + z = 11<BR>\n" );
document.write( "16 + z = 11<BR>\n" );
document.write( "z = 11 - 16<BR>\n" );
document.write( "z = -5<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x + y + z = 18<BR>\n" );
document.write( "16 + y -5 = 18<BR>\n" );
document.write( "y = 18 - 11<BR>\n" );
document.write( "y = 7<BR>\n" );
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document.write( "The three numbers are: 16, -5, 7<BR>\n" );
document.write( ":<BR>\n" );
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document.write( "Check solution in the statement:\"the first is eight times the sum of the second and third.\"<BR>\n" );
document.write( "16 = 8(7 - 5)<BR>\n" );
document.write( "16 = 8(2) </SPAN>\n" );
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