document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=345680>Question 345680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need help with systems of equations using matrices.\r<BR>\n" );
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document.write( "Don't know how to set up this problem.\r<BR>\n" );
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document.write( "A change machine contains nickels, dimes, and quarters. There are 75 coins in the machine and the value of  the coins is $7.25. If there are 5 times as many nickels as dimes, find the number of coins of each type in the machine.\r<BR>\n" );
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document.write( "Need by 9pm tonight (if possible). Thank you for your time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247285 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=247285\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A change machine contains nickels, dimes, and quarters.<BR>\n" );
document.write( " There are 75 coins in the machine and the value of the coins is $7.25.<BR>\n" );
document.write( " If there are 5 times as many nickels as dimes,<BR>\n" );
document.write( " find the number of coins of each type in the machine.<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"There are 75 coins in the machine\"<BR>\n" );
document.write( "n + d + q = 75<BR>\n" );
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document.write( "\"the value of the coins is $7.25.\"<BR>\n" );
document.write( ".05 + .10d + .25q = 7.25<BR>\n" );
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document.write( "\"there are 5 times as many nickels as dimes\"<BR>\n" );
document.write( "n = 5d<BR>\n" );
document.write( "Arrange in the same form<BR>\n" );
document.write( "n - 5d = 0<BR>\n" );
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document.write( "Using the coefficients of these 3 equations, write a matrix<BR>\n" );
document.write( "(in the 3rd equation q=0<BR>\n" );
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document.write( "1, 1, 1, 75<BR>\n" );
document.write( ".05, .10, .25, 7.25<BR>\n" );
document.write( "1 - 5, 0, 0 <BR>\n" );
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document.write( "Solve this 3 by 4 matrix using your favorite method<BR>\n" );
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document.write( "My favorite is the matrix feature on the Ti83, I got<BR>\n" );
document.write( "n = 50<BR>\n" );
document.write( "d = 10<BR>\n" );
document.write( "q = 15\r<BR>\n" );
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document.write( "   </SPAN>\n" );
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