document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=359877>Question 359877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five times a number plus another number is 12. Their difference is 6. What are the two numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #256776 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=256776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x + y = 12.<BR>\n" );
document.write( "|x-y| = 6.\r<BR>\n" );
document.write( "\n" );
document.write( "y = 12-5x.  This implies that |x-(12-5x)| = 6.<BR>\n" );
document.write( "|x-12+5x| = 6.<BR>\n" );
document.write( "|6x-12| = 6,<BR>\n" );
document.write( "|x-2| = 1, after dividing both sides by 6.<BR>\n" );
document.write( "Then x-2 = 1 or x-2 = -1.  The first equation gives x = 3, and the second, x = 1.  If x = 3, y = -3.  If x = 1, y = 7.  The answers are then (3,-3) or (1,7). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );