document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=829021>Question 829021</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A chemist mixes distilled water with a 85 percent solution of sulfuric acid to produce a 45 percent solution. If 7 liters of distilled water are used, how much 45 percent solution is produced?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499655 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x = liters of 85% solution<BR>\n" );
document.write( "y = liters of distilled  water<BR>\n" );
document.write( "---<BR>\n" );
document.write( "85x + 0y = 45(x + y)<BR>\n" );
document.write( "y = 7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "put the system of linear equations into standard form:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "85x = 45x + 45y<BR>\n" );
document.write( "y = 7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "40x - 45y = 0<BR>\n" );
document.write( "y = 7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above linear system in standard form into this matrix-method solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "x = liters of 85% solution = 7.875<BR>\n" );
document.write( "y = liters of distilled water = 7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "system matrix<BR>\n" );
document.write( "40 -45<BR>\n" );
document.write( "0 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "inverse of system matrix<BR>\n" );
document.write( "0.025 1.125<BR>\n" );
document.write( "0 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "determinant of system matrix = 40<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );