document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824687>Question 824687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of a two-digit number and the sum of its digits is 4:1. If the units digit is twice the tens digit, what is the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496699 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=496699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x = units digit<BR>\n" );
document.write( "y = tens digit<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(x + 10y)/(x + y) = 4/1<BR>\n" );
document.write( "x = 2y<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 + 10y = 4(x + y)<BR>\n" );
document.write( "x - 2y = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x + 10y = 4x + 4y<BR>\n" );
document.write( "x - 2y = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "3x - 6y = 0<BR>\n" );
document.write( "x - 2y = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above standard form linear equations in to 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( "answer:<BR>\n" );
document.write( "This linear system is singular. It has no solution<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solve with the elimination method:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "3x - 6y = 0<BR>\n" );
document.write( "x - 2y = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "3x - 6y = 0<BR>\n" );
document.write( "-3x + 6y = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "add the system:<BR>\n" );
document.write( "0 = 0<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "This linear system is singular. It has no solution<BR>\n" );
document.write( "NOTE: matrix method and elimination method agree (the system is singular, no solution.)<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" );