document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141360>Question 141360</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130442631/algebrahomeworkh>Prentice hall algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "How do I solve by using a system of two equations in two variables?<BR>\n" );
document.write( "Jennifer is 6 years older than Sue. In 4 years, she will be twice as old as Sue was 5 years ago.  Find their ages now. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103003 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=103003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> set up the following equation:<BR>\n" );
document.write( "J=S+6 THIS SAYS JENNIFER IS 6 YEARS OLDER THAN SUE.<BR>\n" );
document.write( "J+4=2(S+6-5) THIS EQUATION SAYS THAT IN 4 YEARS (J+4)JENNIFER = (WILL BE) 2 TIMES AS OLD AS SUE WAS 5 YEARS AGO 2(S+6-5).<BR>\n" );
document.write( "NOW SOLVE FOR S BY SUBSTITUTING (S+6) FOR J IN THE SECOND EQUATION.<BR>\n" );
document.write( "(S+6)+4=2(S+6-5)<BR>\n" );
document.write( "S+6+4=2(S+1)<BR>\n" );
document.write( "S+10=2S+2<BR>\n" );
document.write( "S-2S=2-10<BR>\n" );
document.write( "-S=-8<BR>\n" );
document.write( "S=8 SUE'S AGE NOW.<BR>\n" );
document.write( "J=8+6=14 JENNIFER'S AGE NOW.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "14+4=2(8+6-5)<BR>\n" );
document.write( "18=2(9)<BR>\n" );
document.write( "18=18 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );