document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=828059>Question 828059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary is half her mother's age. Mary's father is 5 years older than her mum. the sum of thier ages is equal to 100. Now how old is Mary, her mum and dad? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499112 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=499112\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x = mar<BR>\n" );
document.write( "y = mom<BR>\n" );
document.write( "z = dad<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = y/2<BR>\n" );
document.write( "z = y + 5<BR>\n" );
document.write( "x + y + z = 100<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( "x - 0.5y = 0<BR>\n" );
document.write( "y - z = -5<BR>\n" );
document.write( "x + y + z = 100<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 = mar = 19<BR>\n" );
document.write( "y = mom = 38<BR>\n" );
document.write( "z = dad = 43<BR>\n" );
document.write( "---<BR>\n" );
document.write( "system matrix<BR>\n" );
document.write( "1 -0.5 0<BR>\n" );
document.write( "0 1 -1<BR>\n" );
document.write( "1 1 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "inverse of system matrix<BR>\n" );
document.write( "0.8 0.2 0.2<BR>\n" );
document.write( "-0.4 0.4 0.4<BR>\n" );
document.write( "-0.4 -0.6 0.4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "determinant of system matrix = 2.5<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" );