document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26883>Question 26883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP!!!!  Translate to a system of equations and solve:\r<BR>\n" );
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document.write( "The difference between two numbers is 16.  Three times the larger number is seven times the smaller.  What are the numbers?\r<BR>\n" );
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document.write( "What we've tried:  a-b=16           3a=7b   That's about all I've done...I'm so confused I don't know where to begin.<BR>\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14635 by </B><A HREF=/tutors/aboutme.mpl?userid=bmauger><B>bmauger(101)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bmauger><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=14635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Then you've done the hard part... most people have trouble translating from english to math, but you're doing fine so far. Just need to solve the system of equations.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-b=16 ALIGN=MIDDLE  ALT=\"a-b=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a=7b ALIGN=MIDDLE  ALT=\"3a=7b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The easiest way for this particular problem is substitution, solving the first equation for a you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=16%2Bb ALIGN=MIDDLE  ALT=\"a=16%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > When you put that into equation 2...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2816%2Bb%29=7b ALIGN=MIDDLE  ALT=\"3%2816%2Bb%29=7b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distribute: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2B3b=7b ALIGN=MIDDLE  ALT=\"48%2B3b=7b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rearrange: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48=4b ALIGN=MIDDLE  ALT=\"48=4b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=b ALIGN=MIDDLE  ALT=\"12=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting in for equation 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-12=16 ALIGN=MIDDLE  ALT=\"a-12=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=28 ALIGN=MIDDLE  ALT=\"a=28\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Double check: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A28=84 ALIGN=MIDDLE  ALT=\"3%2A28=84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2A12=84 ALIGN=MIDDLE  ALT=\"7%2A12=84\"   DISABLED_style= \"max-width:90%; height:auto;\" > check. </SPAN>\n" );
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