document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179765>Question 1179765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hrs to prep, 2 hrs to paint, and 10 hrs to fire. A tree takes 16 hrs to prep 3 hrs to paint, and 4 hrs to fire. A sleigh takes 4 hrs to prep, 14 hrs to paint, and 7 hrs to fire. If the workshop has 117 hrs for prep, 85 hrs for painting, and 118 hrs for firing, how many of each can be made? I can get the 3 equations and draw the matrix but now I am lost! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809392 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809392\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "If you can construct a matrix equation model for this problem, it is great (!).\r<BR>\n" );
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document.write( "To move forward and solve the system, there are 3 major ways.\r<BR>\n" );
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document.write( "First way is to do it manually.\r<BR>\n" );
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document.write( "For it, you should know HOW TO do it.\r<BR>\n" );
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document.write( "There are different methods of manual solving: Substitution, Elimination and the Determinant method (same as the Cramer's rule).\r<BR>\n" );
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document.write( "You may learn about these methods from the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Solving-systems-of-linear-equations-in-3-unknowns-by-the-Substitution-method.lesson>Solving systems of linear equations in 3 unknowns by the Substitution method</A>,\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/BRIEFLY-on-solving-systems-of-linear-eqns-in-3-unknowns-by-the-Subst-method.lesson>BRIEFLY on solving systems of linear equations in 3 unknowns by the Substitution method</A>,\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Solving-systems-of-linear-equations-in-3-unknowns-by-the-Elimination-method.lesson>Solving systems of linear equations in 3 unknowns by the Elimination method</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/BRIEFLY-on-solving-systems-of-linear-eqns-in-3-unknowns-by-the-Eliminat-method.lesson>BRIEFLY on solving systems of linear equations in 3 unknowns by the Elimination method</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Determinant-of-a-3x3-matrix.lesson>Determinant of a 3x3 matrix</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Co-factoring-a-3x3-determinant.lesson>Co-factoring the determinant of a 3x3 matrix</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/HOW-TO-solve-system-of-linear-eqns-in-three-unknowns-using-det.lesson>HOW TO solve system of linear equations in three unknowns using determinant (Cramer's rule)</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Solving-systems-of-linear-equations-in-three-unknowns-using-determinant.lesson>Solving systems of linear equations in three unknowns using determinant (Cramer's rule)</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Solving-word-problems-by-reducing-them-to-systems-of-linear-equations-in-three-unknowns.lesson>Solving word problems by reducing to systems of linear equations in three unknowns</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Another way is to solve your system using your pocket calculator.\r<BR>\n" );
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document.write( "You may learn on &nbsp;HOW &nbsp;TO &nbsp;do it from the numerous lessons and video presentations in the Internet.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Put these keywords to the &nbsp;GOOGLE &nbsp;search engine &nbsp;\"how to solve matrix equation using calculator\", \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and it will provide you numerous useful links.\r<BR>\n" );
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document.write( "The third way is to solve your system using free of charge (!) online solver in the Internet.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For it, put these keywords to the &nbsp;GOOGLE &nbsp;search engine &nbsp;\"how to solve matrix equation using online solver\", \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and it will provide you several useful links for this technology.\r<BR>\n" );
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document.write( "So many ways are there around you to improve and develop your skills (!)\r<BR>\n" );
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document.write( "If you chose some of these ways, you may report me about your progress.\r<BR>\n" );
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document.write( "It would be interesting to me to learn about your experience and your progress (!)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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