document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33167>Question 33167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two numbers have a difference of 47.One number is three more than five times the other.Write a system of equations that could be used to find the two numbers.It says write a system of equations to represent each situation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19578 by </B><A HREF=/tutors/aboutme.mpl?userid=sarah_adam><B>sarah_adam(201)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sarah_adam><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=19578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the two numbers be x and y<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "x - y = 47<BR>\n" );
document.write( "given one number is three times more than five times the other<BR>\n" );
document.write( "so let x be that number<BR>\n" );
document.write( "x = 3+5(y)<BR>\n" );
document.write( "therfore here we have two equations<BR>\n" );
document.write( "x - y = 47  which implies x = y+47<BR>\n" );
document.write( "x - 5y = 3<BR>\n" );
document.write( "47+y-5y = 3  (substituting the value of x)<BR>\n" );
document.write( "4y = 44<BR>\n" );
document.write( "y = 11<BR>\n" );
document.write( "x = 58 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );