document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=850538>Question 850538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle has a perimeter P of 14 feet, and twice its length l is equal to 1 less than 4 times its width w. Write and solve a system of linear equations to find the length and the width of the rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #512283 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=512283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:  Rectangle, perimeter P;<BR>\n" );
document.write( "x is length<BR>\n" );
document.write( "y is width<BR>\n" );
document.write( "-<BR>\n" );
document.write( "x=-1+4y, <BR>\n" );
document.write( "-<BR>\n" );
document.write( "-<BR>\n" );
document.write( "UNKNOWNS: x and y.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "IMPORTANT FACT<BR>\n" );
document.write( "Perimeter for a rectangle, 2L+2W.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The current exercise in this solution uses x instead of L and y instead of W.<BR>\n" );
document.write( "We are given P already.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282x%2B2y=P%29 ALIGN=MIDDLE  ALT=\"highlight%282x%2B2y=P%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=4y-1%29 ALIGN=MIDDLE  ALT=\"highlight%28x=4y-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Solve for x and y.  Substitution would be a good way.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2y=2%284y-1%29%2B2y=P ALIGN=MIDDLE  ALT=\"2x%2B2y=2%284y-1%29%2B2y=P\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y-2%2B2y=P ALIGN=MIDDLE  ALT=\"8y-2%2B2y=P\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y-2=P ALIGN=MIDDLE  ALT=\"10y-2=P\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y=P%2B2 ALIGN=MIDDLE  ALT=\"10y=P%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28P%2B2%29%2F10%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%28P%2B2%29%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "Use the formula for y to make and simplify the formula for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%28substituteHere%29-1 ALIGN=MIDDLE  ALT=\"x=4%28substituteHere%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%28%28P%2B2%29%2F10%29-1 ALIGN=MIDDLE  ALT=\"x=4%28%28P%2B2%29%2F10%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That might be good as is, or...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F5%29%28P%2B2%29-1 ALIGN=MIDDLE  ALT=\"%282%2F5%29%28P%2B2%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F5%29%28P%2B2%29-5%2F5 ALIGN=MIDDLE  ALT=\"%282%2F5%29%28P%2B2%29-5%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28P%2B2%29-5%29%2F5 ALIGN=MIDDLE  ALT=\"%282%28P%2B2%29-5%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282P%2B4-5%29%2F5 ALIGN=MIDDLE  ALT=\"%282P%2B4-5%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=highlight%28highlight%28%282P-1%29%2F5%29%29 ALIGN=MIDDLE  ALT=\"x=highlight%28highlight%28%282P-1%29%2F5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----Yes, this form is better.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "-<BR>\n" );
document.write( "SUMMARY:  Length, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%282P-1%29%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%282P-1%29%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and width, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28P%2B2%29%2F10%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%28P%2B2%29%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );