document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970057>Question 970057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi math enthusiasts,<BR>\n" );
document.write( "I have been trying to work this linear system word problem and just cannot figure it out. I must be missing something! Please help! \r<BR>\n" );
document.write( "\n" );
document.write( " In your chemistry class you have a bottle of 5% boric acid solution and a bottle of 2% boric acid solution. You need 60ml of a 3% boric acid solution for an experiment. How much of each solution do you need to mix together?\r<BR>\n" );
document.write( "\n" );
document.write( "I tried to work it like this:\r<BR>\n" );
document.write( "\n" );
document.write( "X=5<BR>\n" );
document.write( "Y=2<BR>\n" );
document.write( "X+Y=60<BR>\n" );
document.write( "y= -x+60<BR>\n" );
document.write( "5x+2y=3<BR>\n" );
document.write( "I got this for the solutions:<BR>\n" );
document.write( "X= -20, Y=80<BR>\n" );
document.write( "Since x is negative, I know this is not correct. Please show me how to set this up. Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592730 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=592730\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let X be the amount of 5% solution and Y be the amount of 2% solution.<BR>\n" );
document.write( "Total volume equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%2BY=60 ALIGN=MIDDLE  ALT=\"X%2BY=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Total concentration equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05X%2B0.02Y=0.03%2860%29 ALIGN=MIDDLE  ALT=\"0.05X%2B0.02Y=0.03%2860%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5X%2B2Y=180 ALIGN=MIDDLE  ALT=\"5X%2B2Y=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply the first equation by 2 and subtract from the second,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5X%2B2Y-2X-2Y=180-120 ALIGN=MIDDLE  ALT=\"5X%2B2Y-2X-2Y=180-120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3X=60 ALIGN=MIDDLE  ALT=\"3X=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=20 ALIGN=MIDDLE  ALT=\"X=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ml ALIGN=MIDDLE  ALT=\"ml\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2BY=60 ALIGN=MIDDLE  ALT=\"20%2BY=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=40 ALIGN=MIDDLE  ALT=\"Y=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ml ALIGN=MIDDLE  ALT=\"ml\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );