document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=847821>Question 847821</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the larger of two numbers is 16 more than the smaller. when added together their sum is 6 less than 3 times the smaller. what are the numbers?\r<BR>\n" );
document.write( "\n" );
document.write( "(16 + a) + b = 3b -6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510706 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=510706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Numbers a and b, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3Cb ALIGN=MIDDLE  ALT=\"a%3Cb\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b-a=16 ALIGN=MIDDLE  ALT=\"b-a=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb=-6%2B3a ALIGN=MIDDLE  ALT=\"a%2Bb=-6%2B3a\"   DISABLED_style= \"max-width:90%; height:auto;\" >; in other words, you start with two equations.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Simplify the a+b equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb-3a=-6 ALIGN=MIDDLE  ALT=\"a%2Bb-3a=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2a%2Bb=-6 ALIGN=MIDDLE  ALT=\"-2a%2Bb=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282a-b=6%29 ALIGN=MIDDLE  ALT=\"highlight_green%282a-b=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Put the a-b equation into the same form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Bb=16 ALIGN=MIDDLE  ALT=\"-a%2Bb=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28a-b=-16%29 ALIGN=MIDDLE  ALT=\"highlight_green%28a-b=-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You could have skipped most of that once you had the two equations translated from the description, and then continued with a substitution method to find a and b; but now you also have an equivalent system of equations for which the Elimination Method would be convenient.\r<BR>\n" );
document.write( "\n" );
document.write( "-<BR>\n" );
document.write( "Subtract one equation from the other to eliminate b:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a-b-%28a-b%29=6-%28-16%29 ALIGN=MIDDLE  ALT=\"2a-b-%28a-b%29=6-%28-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "... which will give you.....? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );