document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=942136>Question 942136</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first. The tax in the first city was 6.5%, and the tax in the second city was 9.5%. The total hotel tax paid for the two cities was $512.50. How much was the hotel charge in each city before tax?<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 #574283 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=574283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = hotel bill in first city, before tax (dollars)<BR>\n" );
document.write( "y = hotel bill in second city, before tax (dollars)<BR>\n" );
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document.write( "y = x - 500<BR>\n" );
document.write( "0.065x + 0.095y = 512.50<BR>\n" );
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document.write( "put the system of linear equations into standard form<BR>\n" );
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document.write( "x - y = 500<BR>\n" );
document.write( "0.065x + 0.095y = 512.50<BR>\n" );
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document.write( "solution:<BR>\n" );
document.write( "x = 3500<BR>\n" );
document.write( "y = 3000<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );