document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1097758>Question 1097758</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if 2 tables and 3 chairs cost Rs3500 and 3 tables and 2 chairs cost Rs 4000 what is the price of one table?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #712181 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=712181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let T represent the price of one table.<BR>\n" );
document.write( "let C represent the price of 1 chair.\r<BR>\n" );
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document.write( "2T + 3C = 3500<BR>\n" );
document.write( "3T + 2C = 4000\r<BR>\n" );
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document.write( "multiply both sides of the first equation by 3 and multiply both sides of the second equation by 2 to get:\r<BR>\n" );
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document.write( "6T + 9C = 10500<BR>\n" );
document.write( "6T + 4C = 8000\r<BR>\n" );
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document.write( "subtract the second equation from the first to get:\r<BR>\n" );
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document.write( "5C = 2500\r<BR>\n" );
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document.write( "solve for C to get C = 500.\r<BR>\n" );
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document.write( "use either one of the original equations and replace C with 500 and solve for T.\r<BR>\n" );
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document.write( "first original equation is 2T + 3C = 3500<BR>\n" );
document.write( "replace C with 500 to get 2T + 1500 = 3500<BR>\n" );
document.write( "subtract 1500 from both sides of this equation to get 2T = 2000<BR>\n" );
document.write( "solve for T to get T = 1000\r<BR>\n" );
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document.write( "you have T = 1000 and C = 500.\r<BR>\n" );
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document.write( "go back to the original equations and evaluate to determine if the solution is correct.\r<BR>\n" );
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document.write( "2T + 3C = 3500 becomes 2*1000 + 3*500 = 3500 which becomes 2000 + 1500 = 3500 which becomes 3500 = 3500 which confirms the solution is correct for the first equation.\r<BR>\n" );
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document.write( "3T + 2C = 4000 becomes 3*1000 + 2*500 = 4000 which becomes 3000 + 1000 = 4000 which becomes 4000 = 4000 which confirms the solution is correct for the second equation.\r<BR>\n" );
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document.write( "the price of one table is rs 1000.\r<BR>\n" );
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