document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182622>Question 1182622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E2-y%5E2=36 ALIGN=MIDDLE  ALT=\"25x%5E2-y%5E2=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5x+y=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812714 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=812714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Tutor @MathLover1 will virtually always solve any system of two equations in two unknowns using substitution.  That is a valid method; but often there are much easier ways.<br><BR>\n" );
document.write( "A student with only a little bit of problem solving experience will see the first equation as a difference of squares and will see if that leads to an easy path to the solution.<br><BR>\n" );
document.write( "And it does, as shown in the solution by tutor @ikleyn.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E2-y%5E2=36 ALIGN=MIDDLE  ALT=\"25x%5E2-y%5E2=36\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%2By%29%285x-y%29=36 ALIGN=MIDDLE  ALT=\"%285x%2By%29%285x-y%29=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "But the other equation tells us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2By=2 ALIGN=MIDDLE  ALT=\"5x%2By=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "so<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%285x-y%29=36 ALIGN=MIDDLE  ALT=\"2%285x-y%29=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-y=18 ALIGN=MIDDLE  ALT=\"5x-y=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "And now we have a system of two linear equation that is easily solved using elimination:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2By=2 ALIGN=MIDDLE  ALT=\"5x%2By=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-y=18 ALIGN=MIDDLE  ALT=\"5x-y=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The lesson from this:<br><BR>\n" );
document.write( "Don't be stuck with one method for solving a particular type of problem.  Instead, look for clues in the given problem that could possibly lead to a much faster and easier solution to the problem.<br><BR>\n" );
document.write( " </SPAN>\n" );
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