document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827119>Question 827119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains $9.00 in nickels, dimes, and quarters. There are 53 coins in all, and the sum of the numbers of nickels and dimes is 3 less than the number of quarters. How many coins of each kind are there?\r<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 #498488 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=498488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x = nickels<BR>\n" );
document.write( "y = dimes<BR>\n" );
document.write( "z = quarters<BR>\n" );
document.write( "---<BR>\n" );
document.write( "5x + 10y + 25z = 900<BR>\n" );
document.write( "x + y + z = 53<BR>\n" );
document.write( "x + y = z - 3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "put the system of linear equations into standard form:<BR>\n" );
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document.write( "5x + 10y + 25z = 900<BR>\n" );
document.write( "x + y + z = 53<BR>\n" );
document.write( "x + y - z = -3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above linear system in standard form into this matrix-method solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "x = nickels = 10<BR>\n" );
document.write( "y = dimes = 15<BR>\n" );
document.write( "z = quarters = 28<BR>\n" );
document.write( "---<BR>\n" );
document.write( "system matrix<BR>\n" );
document.write( "5 10 25<BR>\n" );
document.write( "1 1 1<BR>\n" );
document.write( "1 1 -1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "inverse of system matrix<BR>\n" );
document.write( "-0.2 3.5 -1.5<BR>\n" );
document.write( "0.2 -3 2<BR>\n" );
document.write( "0 0.5 -0.5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "determinant of system matrix = 10<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );