document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208685>Question 1208685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve:\r<BR>\n" );
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document.write( "An advertisement from the back of Denton checklist:\r<BR>\n" );
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document.write( "$1300 sofa and love seat<BR>\n" );
document.write( "$1400 sofa and two chairs<BR>\n" );
document.write( "$1600 sofa, love seat, one chair \r<BR>\n" );
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document.write( "HOw much does each piece of furniture cost individually? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #847088 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=847088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = sofa's price<BR>\n" );
document.write( "y = love seat's price<BR>\n" );
document.write( "z = chair's price<BR>\n" );
document.write( "Each price is in dollars.\r<BR>\n" );
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document.write( "The various combo prices in the instructions gives us this system of equations.<BR>\n" );
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document.write( "Since x+y = 1300, we can replace the x+y in the 3rd equation with 1300<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "x+y+z = 1600<BR>\n" );
document.write( "<font color=blue>x+y</font>+z = 1600<BR>\n" );
document.write( "<font color=blue>1300</font>+z = 1600<BR>\n" );
document.write( "z = 1600-1300<BR>\n" );
document.write( "z = <font color=red>300</font><BR>\n" );
document.write( "Put another way: subtract equations (3) and (1) to end up with z = 300.\r<BR>\n" );
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document.write( "Use this value of z to find x in the 2nd equation<BR>\n" );
document.write( "x+2z = 1400<BR>\n" );
document.write( "x+2*300 = 1400<BR>\n" );
document.write( "x+600 = 1400<BR>\n" );
document.write( "x = 1400-600<BR>\n" );
document.write( "x = <font color=red>800</font>\r<BR>\n" );
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document.write( "Then use the 1st equation to find y.<BR>\n" );
document.write( "x+y = 1300<BR>\n" );
document.write( "800+y = 1300<BR>\n" );
document.write( "y = 1300-800<BR>\n" );
document.write( "y = <font color=red>500</font>\r<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "Sofa = <font color=red>$800</font><BR>\n" );
document.write( "Love Seat = <font color=red>$500</font><BR>\n" );
document.write( "Chair = <font color=red>$300</font><BR>\n" );
document.write( "I'll let the student check these answers.<BR>\n" );
document.write( "</font> </SPAN>\n" );
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