document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189810>Question 1189810</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Miguel and Javier went to an arcade where the machines took tokens.  Miguel played 9 games of ping pong and 5 games of pinball, using a total of 29 tokens.  At the same time, Javier played 3 games of ping pong and 1 game of pinball, using up 7 tokens. \r<BR>\n" );
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document.write( "Part A:  Write a system of equation to model this situation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821295 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=821295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = price of a ping pong token.<BR>\n" );
document.write( "y = price of a pinball token.\r<BR>\n" );
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document.write( "9x + 5y = 29<BR>\n" );
document.write( "3x + y = 7\r<BR>\n" );
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document.write( "multiply both sides of the second equation by 3 and lave the first equation as is to get:\r<BR>\n" );
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document.write( "9x + 5y = 29<BR>\n" );
document.write( "9x + 3y = 21\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( "2y = 8\r<BR>\n" );
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document.write( "solve for y to get y = 4<BR>\n" );
document.write( "use y = 4 to solve for x to get x = 1\r<BR>\n" );
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document.write( "replace x and y with 4 and 1 in the original equations to get:<BR>\n" );
document.write( "9x + 5y = 29 becomes 9 + 20 = 29<BR>\n" );
document.write( "3x + y = becomes 3 + 4 = 7<BR>\n" );
document.write( "this confirms the values are good.\r<BR>\n" );
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document.write( "you were asked to write a system of equation to model the situation.<BR>\n" );
document.write( "that solution is:\r<BR>\n" );
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document.write( "9x + 5y = 29<BR>\n" );
document.write( "3x + y = 7<BR>\n" );
document.write( "x = price of a ping pong token.<BR>\n" );
document.write( "y = price of a pinball token.\r<BR>\n" );
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document.write( "i went a little further and solved it, but that's not what they asked.<BR>\n" );
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