document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=285237>Question 285237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 15. The result when the greater number is decreased by three times the lesser is 7. Let x be the greater number and let y be the lesser number. write a system of equations to model this situation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #206827 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=206827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x is greater<BR>\n" );
document.write( "y is lesser<BR>\n" );
document.write( "Now we are told that:<BR>\n" );
document.write( "x+y=15---------------------eq1<BR>\n" );
document.write( "We are also told that:<BR>\n" );
document.write( "x-3y=7------------------------eq2\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract eq2 from eq1 and we get:<BR>\n" );
document.write( "4y=8  divide each side by 4<BR>\n" );
document.write( "y=2--lesser number<BR>\n" );
document.write( "From eq 1:<BR>\n" );
document.write( "x+2=15<BR>\n" );
document.write( "x=13-------------greater number<BR>\n" );
document.write( "CK<BR>\n" );
document.write( "2+13=15<BR>\n" );
document.write( "15=15<BR>\n" );
document.write( "and<BR>\n" );
document.write( "13-3*2=7<BR>\n" );
document.write( "13-6=7<BR>\n" );
document.write( "7=7\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );