document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262637>Question 262637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Average movie ticket prices in the united states are, in general, lower than other countries. It would cost in $77.87 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $73.83. How much does an average movie ticket cost in each of these countries? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193492 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=193492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the price of each ticket in japan.<BR>\n" );
document.write( "let y = the price of each ticket in switzerland.\r<BR>\n" );
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document.write( "the equations you have to work with are:\r<BR>\n" );
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document.write( "3*x + 2*y = 77.87<BR>\n" );
document.write( "2*x + 3*y = 73.83\r<BR>\n" );
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document.write( "solve these equations simultaneously to get your answer.\r<BR>\n" );
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document.write( "multiply the first equation by 2 and the second equation by 3 to get:\r<BR>\n" );
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document.write( "6*x + 4*y = 155.74 <BR>\n" );
document.write( "6*x + 9*y = 221.49 \r<BR>\n" );
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document.write( "subtract the first equation from the second equation to gert:\r<BR>\n" );
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document.write( "5*y = 65.75\r<BR>\n" );
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document.write( "divide both sides of this equation by 5 to get:\r<BR>\n" );
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document.write( "y = 13.15\r<BR>\n" );
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document.write( "substitute this value of y in the first original equation.\r<BR>\n" );
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document.write( "first original equation is:\r<BR>\n" );
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document.write( "3*x + 2*y = 77.87 which becomes:\r<BR>\n" );
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document.write( "3*x + 2*13.15 = 77.87 which becomes:\r<BR>\n" );
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document.write( "3*x + 26.30 = 77.87\r<BR>\n" );
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document.write( "subtract 26.30 from both sides of this equation to get:\r<BR>\n" );
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document.write( "3*x = 77.87 = 26.30 = 51.57\r<BR>\n" );
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document.write( "divide both sides of this equation by 3 to get:\r<BR>\n" );
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document.write( "x = 17.19\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "x = 17.19<BR>\n" );
document.write( "y = 13.15\r<BR>\n" );
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document.write( "substitute in both original equations to see if the equations are true.\r<BR>\n" );
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document.write( "original equations are:\r<BR>\n" );
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document.write( "3*x + 2*y = 77.87<BR>\n" );
document.write( "2*x + 3*y = 73.83\r<BR>\n" );
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document.write( "after substitution, they become:\r<BR>\n" );
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document.write( "3*17.19 + 2*13.15 = 77.87<BR>\n" );
document.write( "2*17.19 + 3*13.15 = 73.83\r<BR>\n" );
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document.write( "which becomes:\r<BR>\n" );
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document.write( "51.57 + 26.30 = 77.87<BR>\n" );
document.write( "34.38 + 39.45 = 73.83\r<BR>\n" );
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document.write( "which becomes:\r<BR>\n" );
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document.write( "77.87 = 77.87<BR>\n" );
document.write( "73.83 = 73.83\r<BR>\n" );
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document.write( "confirming that the values for x and y are good.\r<BR>\n" );
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document.write( "your answer is:\r<BR>\n" );
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document.write( "price of a ticket in japan is $17.19<BR>\n" );
document.write( "pride of a ticket in switzerland is $13.15\r<BR>\n" );
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document.write( " </SPAN>\n" );
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