document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1059710>Question 1059710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Wil paid $35 for 5 T-shirts. Some of the T-shirts cost $5 each and the rest cost $10 each. Write and solve a system of equations to represent this situation. Interpret the solution. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #674733 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=674733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x represent the number of t-shits that cost 5 dollars apiece.\r<BR>\n" );
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document.write( "let y represent the number of t-shirts that cost 10 dollars apiece.\r<BR>\n" );
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document.write( "you bought 5 t-shirts, therefore x + y = 5.\r<BR>\n" );
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document.write( "you paid a total of 35 dollars for the t-shirts, therefore 5x + 10y = 35\r<BR>\n" );
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document.write( "you have a system of equations that need to be solved simultaneously.\r<BR>\n" );
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document.write( "those equations are:\r<BR>\n" );
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document.write( "x + y = 5\r<BR>\n" );
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document.write( "5x + 10y = 35\r<BR>\n" );
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document.write( "from the first equation, you can solve for y to get y = 5 - x.\r<BR>\n" );
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document.write( "in the second equation, you can replace y with 5 - x to get 5x + 10 * (5-x) = 35.\r<BR>\n" );
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document.write( "simplify this equation to get 5x + 50 - 10x = 35.\r<BR>\n" );
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document.write( "combine like terms to get -5x + 50 = 35.\r<BR>\n" );
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document.write( "subtract 50 from both sides of the equation to get -5x = -15.\r<BR>\n" );
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document.write( "divide both sides of the equation by -5 to get x = 3.\r<BR>\n" );
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document.write( "since x + y = 5, then y must be equal to 2.\r<BR>\n" );
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document.write( "you bought 3 t-shirts at 5 dollars apiece and 2 t-shirt at 10 dollars apiece.\r<BR>\n" );
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document.write( "your total cost is 3 * 5 + 2 * 10 = 15 + 20 = 35.\r<BR>\n" );
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document.write( "solution is x = 3 and y = 2.\r<BR>\n" );
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document.write( "when you solve the two equations simultaneously, the same solution has to be good for both equations.\r<BR>\n" );
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document.write( "x + y = 5 becomes 3 + 2 = 5 so the first equation is satisfied.<BR>\n" );
document.write( "5x + 10ty = 35 becomes 15 + 20 = 35 so the second equation is satisfied as well by the same values of x and y.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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