document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114058>Question 114058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "the larger of two numbers is 1 more than 3 times the smaller. the difference between 8 times the smaller and 2 times the larger is 10. find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83006 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><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=83006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be the smaller number & y the larger number.<BR>\n" );
document.write( "y=3x+1<BR>\n" );
document.write( "8x-2y=10<BR>\n" );
document.write( "now substitute (3x-1) for y & solve for x<BR>\n" );
document.write( "8x-2(3x-1)=10<BR>\n" );
document.write( "8x-6x+2=10<BR>\n" );
document.write( "2x=10+2<BR>\n" );
document.write( "2x=12<BR>\n" );
document.write( "x=12/2<BR>\n" );
document.write( "x=6 answer for the smaller number.<BR>\n" );
document.write( "y=3*6+1<BR>\n" );
document.write( "y=18+1<BR>\n" );
document.write( "y=19 answer for the larger number.<BR>\n" );
document.write( "proof:<BR>\n" );
document.write( "8*6-2*19=10<BR>\n" );
document.write( "48-38=10<BR>\n" );
document.write( "10=10 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );