document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1124074>Question 1124074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of three numbers is 10.  The sum of twice the first&#8203; number, 5 times the second&#8203; number, and 6 times the third number is 53.  The difference between 7 times the first number and the second number is 4.  \r<BR>\n" );
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document.write( "Find the three numbers.<BR>\n" );
document.write( "first&#8203; number:\r<BR>\n" );
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document.write( "second&#8203; number: \r<BR>\n" );
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document.write( "third&#8203; number: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854137 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39780)</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=854137\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By%2Bz=10%2C2x%2B5y%2B6z=53%2C7x-y=4%29 ALIGN=MIDDLE  ALT=\"system%28x%2By%2Bz=10%2C2x%2B5y%2B6z=53%2C7x-y=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "What if first try to eliminate z?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%286x%2B6y%2B6z=60%2C2x%2B5y%2B6z=53%29 ALIGN=MIDDLE  ALT=\"system%286x%2B6y%2B6z=60%2C2x%2B5y%2B6z=53%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract later from former.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2By=7 ALIGN=MIDDLE  ALT=\"4x%2By=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Revising the system now having just two variables,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=syste%284x%2By=7%2C7x-y=4%29 ALIGN=MIDDLE  ALT=\"syste%284x%2By=7%2C7x-y=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add the parts.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x%2B0=11 ALIGN=MIDDLE  ALT=\"11x%2B0=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=1%29 ALIGN=MIDDLE  ALT=\"highlight%28x=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using E3 of original system<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x-4=y ALIGN=MIDDLE  ALT=\"7x-4=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7-4=y ALIGN=MIDDLE  ALT=\"7-4=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using E1 of original system<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B3%2Bz=10 ALIGN=MIDDLE  ALT=\"1%2B3%2Bz=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28z=6%29 ALIGN=MIDDLE  ALT=\"highlight%28z=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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