document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089386>Question 1089386</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problem by using the Gauss-Jordan method to solve a system of equations.\r<BR>\n" );
document.write( "\n" );
document.write( "MIXING SOLUTIONS:\r<BR>\n" );
document.write( "\n" );
document.write( "A 5% solution of a drug is to be mixed with some 15% solution and some 10% solution to get 20 mL of 8% solution. The amount of 5% solution used must be 2 mL more than the sum of the other two solutions. How many milliliters of each solution should be used? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #703797 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39626)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=703797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x, volume of the 5%<BR>\n" );
document.write( "y, volume of the 10%<BR>\n" );
document.write( "z, volume of the 15%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Converting the description into a system of equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%285x%2B10y%2B15z=8%2A20%2Cx%2By%2Bz=20%2Cx=y%2Bz%2B2%29 ALIGN=MIDDLE  ALT=\"system%285x%2B10y%2B15z=8%2A20%2Cx%2By%2Bz=20%2Cx=y%2Bz%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Simplifying the system of equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2B2y%2B3z=32%2Cx%2By%2Bz=20%2Cx-y-z=2%29 ALIGN=MIDDLE  ALT=\"system%28x%2B2y%2B3z=32%2Cx%2By%2Bz=20%2Cx-y-z=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Matrix to begin:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A1%2C2%2C3%2C32%2C%0D%0A1%2C1%2C1%2C20%2C%0D%0A1%2C-1%2C-1%2C2%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A0%2C1%2C2%2C12%2C%0D%0A0%2C2%2C2%2C18%2C%0D%0A1%2C-1%2C-1%2C2%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A0%2C1%2C2%2C12%2C%0D%0A0%2C1%2C1%2C9%2C%0D%0A1%2C-1%2C-1%2C2%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A1%2C-1%2C-1%2C2%2C%0D%0A0%2C1%2C2%2C12%2C%0D%0A0%2C1%2C1%2C9%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A1%2C-1%2C-1%2C2%2C%0D%0A0%2C1%2C2%2C12%2C%0D%0A0%2C0%2C1%2C3%0D%0A%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A1%2C-1%2C0%2C5%2C%0D%0A0%2C1%2C0%2C6%2C%0D%0A0%2C0%2C1%2C3%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%283%2C4%2C%0D%0A1%2C0%2C0%2C11%2C%0D%0A0%2C1%2C0%2C6%2C%0D%0A0%2C0%2C1%2C3%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "--\r<BR>\n" );
document.write( "\n" );
document.write( "Finished solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=11%2Cy=6%2Cz=3%29 ALIGN=MIDDLE  ALT=\"system%28x=11%2Cy=6%2Cz=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );