document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=990952>Question 990952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a triangle is 56 centimeters.  The longest side is 2 centimeters less than the sum of the other two sides.  Twice the shortest side is 13 centimeters less than the longest side.  Find the lengths of each side of the triangle.\r<BR>\n" );
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document.write( "a=<BR>\n" );
document.write( "b=<BR>\n" );
document.write( "c=a+b-2<BR>\n" );
document.write( "a+b+c=56 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #610899 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=610899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x, y, z, the sides;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=56 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=56\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take z as the longest side; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=-2%2Bx%2By ALIGN=MIDDLE  ALT=\"z=-2%2Bx%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "Take x as the shortest side; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-13%2Bz ALIGN=MIDDLE  ALT=\"x=-13%2Bz\"   DISABLED_style= \"max-width:90%; height:auto;\" >;\r<BR>\n" );
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document.write( "This makes a system of equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By%2Bz=56%2Cx=z-13%2Cz=x%2By-2%29 ALIGN=MIDDLE  ALT=\"system%28x%2By%2Bz=56%2Cx=z-13%2Cz=x%2By-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Maybe Row Elimination would be the way to go.  Another way is substitute for x in the first and third equations, and continue to work the the two-variable system resulting.  Doing this way:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28z-13%2By%2Bz=56%2Cz=z-13%2By-2%29 ALIGN=MIDDLE  ALT=\"system%28z-13%2By%2Bz=56%2Cz=z-13%2By-2%29\"   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=system%282z%2By=56%2B13%2C0=y-15%29 ALIGN=MIDDLE  ALT=\"system%282z%2By=56%2B13%2C0=y-15%29\"   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=system%282z%2By=69%2Cy=15%29 ALIGN=MIDDLE  ALT=\"system%282z%2By=69%2Cy=15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Found one side length, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=15%29 ALIGN=MIDDLE  ALT=\"highlight%28y=15%29\"   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=2z%2B15=69 ALIGN=MIDDLE  ALT=\"2z%2B15=69\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2z=69-15 ALIGN=MIDDLE  ALT=\"2z=69-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2z=74 ALIGN=MIDDLE  ALT=\"2z=74\"   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=37%29 ALIGN=MIDDLE  ALT=\"highlight%28z=37%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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