document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262876>Question 262876</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain two-digit number has a value that is 2 more than 6 times the sum of its digits. The tens digit is 1 more than the units digit. Find the number by using linear sytems. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193687 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=193687\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A certain two-digit number has a value that is 2 more than 6 times the sum of its digits. The tens digit is 1 more than the units digit. Find the number by using linear sytems.\r<BR>\n" );
document.write( "\n" );
document.write( "Let the digit in tens place be x<BR>\n" );
document.write( "And that in the units place be y\r<BR>\n" );
document.write( "\n" );
document.write( "10x+y=6(x+y) +2\r<BR>\n" );
document.write( "\n" );
document.write( "X=y+1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "10x+y = 6x+6y+2<BR>\n" );
document.write( "4x-5y=2 -------------1<BR>\n" );
document.write( "x-y=1 ----------------2\r<BR>\n" );
document.write( "\n" );
document.write( "multiply eq 2 by 4 and subtract the equations<BR>\n" );
document.write( "4x-4y=4<BR>\n" );
document.write( "4x-5y=2\r<BR>\n" );
document.write( "\n" );
document.write( "Y=2<BR>\n" );
document.write( "X=3<BR>\n" );
document.write( "The number  is  31\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );