document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106679>Question 106679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help me this ones wrecking my brain and is stressing me out!!!<BR>\n" );
document.write( "The perimeter of a triangle ABC is 26m. BC is two thirds the length of AB and is 2m longer than ac. find the length of the sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77636 by </B><A HREF=/tutors/aboutme.mpl?userid=rcmcc><B>rcmcc(152)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rcmcc><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=rcmcc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve this question it is easier to make a set of simple equations.\r<BR>\n" );
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document.write( "because perimeter is x+y+z we can make the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab%2Bbc%2Bac=26 ALIGN=MIDDLE  ALT=\"ab%2Bbc%2Bac=26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now we can make equations for the other parts of the question<BR>\n" );
document.write( "because BC is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > the length of Ab we can make the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=%282%2F3%29BC ALIGN=MIDDLE  ALT=\"AB=%282%2F3%29BC\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now we can add on the other part of the equation. because BC is 2cm longer than AC we can derive the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC=BC%2B2 ALIGN=MIDDLE  ALT=\"AC=BC%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now you have the 3 equations below<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab%2Bbc%2Bac=26 ALIGN=MIDDLE  ALT=\"ab%2Bbc%2Bac=26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=%282%2F3%29BC ALIGN=MIDDLE  ALT=\"AB=%282%2F3%29BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC=BC%2B2 ALIGN=MIDDLE  ALT=\"AC=BC%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the simplest way to solve is to substitute the 2 lower equations into the top equation in place of their respective variables. so you substitute (2/3)BC in place of AB in the top equation.\r<BR>\n" );
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document.write( "you get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29BC%2BBC%2BBC%2B2=26 ALIGN=MIDDLE  ALT=\"%282%2F3%29BC%2BBC%2BBC%2B2=26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F3%29BC=24 ALIGN=MIDDLE  ALT=\"%288%2F3%29BC=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "divide by 8/3<BR>\n" );
document.write( "BC=9<BR>\n" );
document.write( "Now because you have BC solved substitute into the other equations to solve for the remainder sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC=9%2B2 ALIGN=MIDDLE  ALT=\"AC=9%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=%282%2F3%299 ALIGN=MIDDLE  ALT=\"AB=%282%2F3%299\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so  AC=11<BR>\n" );
document.write( "and AB=6\r<BR>\n" );
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document.write( "the lengths of the 3 sides of the triagle are 9,11,6 </SPAN>\n" );
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