document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176153>Question 176153</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You bought ten carnations and five daisies for a total of $12.50. Later<BR>\n" );
document.write( "that day you bought five carnations and eight daisies for a total of<BR>\n" );
document.write( "$11.75. Find the price of each carnation and of each daisy.\r<BR>\n" );
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document.write( "What are the dimensions of the product of a 2 x 3 matrix and a<BR>\n" );
document.write( "3 x 4 matrix? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131242 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let C be the cost of carnations and D be the cost of daisies. <BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10C%2B5D=12.50 ALIGN=MIDDLE  ALT=\"10C%2B5D=12.50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5C%2B8D=11.75 ALIGN=MIDDLE  ALT=\"5C%2B8D=11.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's double eq. 2 and subtract 2 from 1 and solve for D.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10C%2B5D-2%285C%2B8D%29=12.5-2%2811.75%29 ALIGN=MIDDLE  ALT=\"10C%2B5D-2%285C%2B8D%29=12.5-2%2811.75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10C%2B5D-10C-16D%29=12.5-23.50 ALIGN=MIDDLE  ALT=\"10C%2B5D-10C-16D%29=12.5-23.50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-11D=-11 ALIGN=MIDDLE  ALT=\"-11D=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=1 ALIGN=MIDDLE  ALT=\"D=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From 1,<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10C%2B5D=12.50 ALIGN=MIDDLE  ALT=\"10C%2B5D=12.50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10C%2B5=12.50 ALIGN=MIDDLE  ALT=\"10C%2B5=12.50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10C=7.50 ALIGN=MIDDLE  ALT=\"10C=7.50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=0.75 ALIGN=MIDDLE  ALT=\"C=0.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Carnations cost $0.75 while daisies cost $1.00.<BR>\n" );
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document.write( "To do matrix multiplication, the inner dimensions (3) must match.<BR>\n" );
document.write( "The product dimensions are the outer dimensions of the original matrices.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+%28highlight%283%29%29%29%28%28highlight%283%29%29x4%29 ALIGN=MIDDLE  ALT=\"%282x+%28highlight%283%29%29%29%28%28highlight%283%29%29x4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x4%29 ALIGN=MIDDLE  ALT=\"%282x4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The product would be a 2x4 matrix. </SPAN>\n" );
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