document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75996>Question 75996</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618511814/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A 14-yard fishing line is cut into two pieces. Three times the length of the longer piece is four times the length of the shorter piece. Find the length of each piece. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54635 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=length of shorter piece<BR>\n" );
document.write( "And y=longer piece\r<BR>\n" );
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document.write( "Now we are told that:<BR>\n" );
document.write( "x+y=14-----------------------------------eq 1\r<BR>\n" );
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document.write( "We are also told that:<BR>\n" );
document.write( "3y=4x---------------------------------------eq 2\r<BR>\n" );
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document.write( "divide both sides of eq 2 by 3 and we get:<BR>\n" );
document.write( "y=(4/3)x---substitute this into eq 1:\r<BR>\n" );
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document.write( "x+(4/3)x=14 or<BR>\n" );
document.write( "(7/3)x=14  multiply both sides by 3<BR>\n" );
document.write( "7x=42  divide both sides by 7\r<BR>\n" );
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document.write( "x=6 yards------------------------------shorter piece\r<BR>\n" );
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document.write( "Substitute x=6 into eq 1:<BR>\n" );
document.write( "6+y=14  subtract 6 from both sides<BR>\n" );
document.write( "y=8 yards----------------------------------longer piece\r<BR>\n" );
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document.write( "Ck\r<BR>\n" );
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document.write( "6+8=14<BR>\n" );
document.write( "14=14<BR>\n" );
document.write( "and<BR>\n" );
document.write( "3 times longer = 4 times shorter or<BR>\n" );
document.write( "3*8=4*6<BR>\n" );
document.write( "24=24\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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