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 #703329 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=703329\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y+z=11<BR>\n" );
document.write( "2x+4y+5z=30<BR>\n" );
document.write( "6x-y=47<BR>\n" );
document.write( "therefore, y=6x-47<BR>\n" );
document.write( "substitute into the equations<BR>\n" );
document.write( "x+6x-47+z=11 or 7x-47+z=11<BR>\n" );
document.write( "2x+4(6x-47)+5z=30 or 26x-188+5z=30<BR>\n" );
document.write( "7x+z=58, z=-7x+58<BR>\n" );
document.write( "substitute that into the equation 26x+5z=218 so that 26x-35x+290=218<BR>\n" );
document.write( "-9x=-72<BR>\n" );
document.write( "x=8<BR>\n" );
document.write( "26x+5z=218 so that 208+5z=218 and z=2<BR>\n" );
document.write( "Going back to the first equation, 8+y+2=11 and y=1<BR>\n" );
document.write( "2(8)+4(1)+5(2)=30<BR>\n" );
document.write( "{8, 1, 2} </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );