document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068265>Question 1068265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two tables and 3 chairs together cost $200 whereas 3 tables and 2 chairs together cost $250. Find the cost of one table and one chair.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #683455 by </B><A HREF=/tutors/aboutme.mpl?userid=Lightning_Fast><B>Lightning_Fast(78)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Lightning_Fast><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Lightning_Fast><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=683455\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let<BR>\n" );
document.write( "T = table<BR>\n" );
document.write( "C = chair\r<BR>\n" );
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document.write( "2T + 3C = 200 (200 dollars is the cost of 2 tables and 3 chairs)<BR>\n" );
document.write( "3T + 2C = 250 (250 dollars is the cost of 3 tables and two chairs)\r<BR>\n" );
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document.write( "What is C + T?\r<BR>\n" );
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document.write( "Solve by substitution.\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Lightning_Fast&illustration_name=photograph5.png\">.\r<BR>\n" );
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document.write( "Here, I got t=70<BR>\n" );
document.write( "The table is 70$.\r<BR>\n" );
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document.write( "To find the chair, substitute the value back in any of the original equations.\r<BR>\n" );
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document.write( "I'll choose the first one<BR>\n" );
document.write( "2(70)+3C=200<BR>\n" );
document.write( "140+3C=200<BR>\n" );
document.write( "3C=60<BR>\n" );
document.write( "C=20<BR>\n" );
document.write( "Chairs are 20$\r<BR>\n" );
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document.write( "Can also solve this graphically. If tables are x and chairs are y, we can find where the graphs intersect.<BR>\n" );
document.write( "(this is essentially what we did above, but more visuals)\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Lightning_Fast&illustration_name=photograph6.png\">.<BR>\n" );
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