document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98222>Question 98222</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need help, I cant remenber where to start and how to make the formula work.\r<BR>\n" );
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document.write( "A piece of wire 83 centimeters long must be into 3 pieces. Two pieces will be the same length, and the the third will be 7 centimeters less than twicw the others. Find the length of each wire.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71389 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=71389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=length of 1st segment (and length of second one since they are equal), and y=length of 3rd segment\r<BR>\n" );
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document.write( "Since the 3rd one is \"7 centimeters less than twicw the others\", then we have the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x-7 ALIGN=MIDDLE  ALT=\"y=2x-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now add up the segments to get 83\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx%2B2x-7=83 ALIGN=MIDDLE  ALT=\"x%2Bx%2B2x-7=83\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-7=83 ALIGN=MIDDLE  ALT=\"4x-7=83\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=83%2B7 ALIGN=MIDDLE  ALT=\"4x=83%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >Add 7 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=90 ALIGN=MIDDLE  ALT=\"4x=90\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2890%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x=%2890%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 4 to isolate x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=45+%2F+2 ALIGN=MIDDLE  ALT=\"x=45+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "--------------------------------------------------------------\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=45+%2F+2 ALIGN=MIDDLE  ALT=\"x=45+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=22.5 ALIGN=MIDDLE  ALT=\"x=22.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > in decimal form)\r<BR>\n" );
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document.write( "So the first two segments are 22.5 cm\r<BR>\n" );
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document.write( "Now plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=22.5 ALIGN=MIDDLE  ALT=\"x=22.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the 3rd segment\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2822.5%29-7 ALIGN=MIDDLE  ALT=\"y=2%2822.5%29-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=22.5 ALIGN=MIDDLE  ALT=\"x=22.5\"   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=y=38 ALIGN=MIDDLE  ALT=\"y=38\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate\r<BR>\n" );
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document.write( "So the 3rd segment is 38 cm\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "Simply add the 3 segments to find the total length\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22.5%2B22.5%2B38=83 ALIGN=MIDDLE  ALT=\"22.5%2B22.5%2B38=83\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Since the segments add to 83, our answer is verified. </SPAN>\n" );
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