document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272475>Question 272475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a 25 foot wire is to be cut so the longer piece is 1 foot longer than 5 times the shorter piece. find both lengths </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199314 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=199314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 25-ft wire is cut into two pieces. We can call these 'x' and 'y'.  And in algebra, we'd say:<BR>\n" );
document.write( "x + y = 25<BR>\n" );
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document.write( "y = 25-x<BR>\n" );
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document.write( "We also are told there is a relationship between the lengths of 'x' and 'y'.<BR>\n" );
document.write( "x = 5y + 1  :: 'x' is 1 foot longer than 5 times 'y'<BR>\n" );
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document.write( "substituting y = 25-x, we have<BR>\n" );
document.write( "x = 5(25-x) + 1<BR>\n" );
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document.write( "multiplying through<BR>\n" );
document.write( "x = 125 - 5x + 1<BR>\n" );
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document.write( "collecting terms<BR>\n" );
document.write( "6x = 126<BR>\n" );
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document.write( "dividing by 6<BR>\n" );
document.write( "x = 126/6 = 21<BR>\n" );
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document.write( "Since x+y = 25, then<BR>\n" );
document.write( "y = 25 - 21 = 4<BR>\n" );
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document.write( "Checking our work<BR>\n" );
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document.write( "Do they sum to 25?<BR>\n" );
document.write( "x + y = ??<BR>\n" );
document.write( "21 + 4 = 25<BR>\n" );
document.write( "Yes<BR>\n" );
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document.write( "Is x = 5*y + 1?<BR>\n" );
document.write( "5(4) + 1 = 21 ??<BR>\n" );
document.write( "Yes<BR>\n" );
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document.write( "So our answer is:<BR>\n" );
document.write( "x = 21 feet<BR>\n" );
document.write( "y = 4 feet<BR>\n" );
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document.write( "Done </SPAN>\n" );
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