document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=343462>Question 343462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A dietitian wants a patient to have  meal with 66 grams of protein, 94.5 grams of carbohydrates, and 910 milligrams of calcium. The meal is composed of chicken, corn, milk. Each serving of chicken has 30 grams of protein, 35 grams of carbs, and 200 milligrams of calcium. Each serving of corn has 3 grams of protein, 16 grams of carbs, and 10 milligrams of calcium. Each serving of milk has 9 grams of protein, 13 grams of carbs, and 300 milligrams of calcium. How many servings of each need to be given to the patient?\r<BR>\n" );
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document.write( "I got the problems set up like this:\r<BR>\n" );
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document.write( "chicken=x<BR>\n" );
document.write( "corn=y<BR>\n" );
document.write( "milk=z\r<BR>\n" );
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document.write( "30x+3y+9z=66<BR>\n" );
document.write( "35x+16y+13z=94.5<BR>\n" );
document.write( "200x+10y+300z=910\r<BR>\n" );
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document.write( "I am pretty sure I need to do matrices , but don't know how to break it down? Can you please help me?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #245783 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=245783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You don't necessarily need to solve using matrix methods but it is fastest. <BR>\n" );
document.write( "You could also use substitution or elimination.<BR>\n" );
document.write( "[A]=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C3%2C30%2C3%2C9%2C35%2C16%2C13%2C200%2C10%2C300%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C3%2C30%2C3%2C9%2C35%2C16%2C13%2C200%2C10%2C300%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[x]=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[b]=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C1%2C66%2C94.5%2C910%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C1%2C66%2C94.5%2C910%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "[A][x]=[b]<BR>\n" );
document.write( "[x]=[A]inv[b]<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Find the inverse of [A].<BR>\n" );
document.write( "det[A]=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90750 ALIGN=MIDDLE  ALT=\"90750\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "[A]inv=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F90750%29%2A%28matrix%283%2C3%2C4670%2C-810%2C-105%2C-7900%2C7200%2C-75%2C-2850%2C300%2C375%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "[x]=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C1%2C1.5%2C1%2C2%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%283%2C1%2C1.5%2C1%2C2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );