document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=496759>Question 496759</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between two numbers is 7. The sum of half the larger number and twice the smaller number is 51. What are the two numbers? must set up the equations and show in algebraic steps) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336544 by </B><A HREF=/tutors/aboutme.mpl?userid=deborabr><B>deborabr(181)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=deborabr><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=deborabr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=336544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this equations system is representing the problem<BR>\n" );
document.write( "x-y=7<BR>\n" );
document.write( "x/2+2y=51<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x-y=7 *(2) multiplying to when you sum delet y<BR>\n" );
document.write( "x/2+2y=51<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2x-2y=14<BR>\n" );
document.write( "x/2+2y=51 suming<BR>\n" );
document.write( "___________<BR>\n" );
document.write( "2x+x/2+0y=65<BR>\n" );
document.write( "2x+x/2=65<BR>\n" );
document.write( "4x/2+x/2=130/2 make the denominators equal to delete them<BR>\n" );
document.write( "4x+x=130<BR>\n" );
document.write( "5x=130<BR>\n" );
document.write( "x=130/5<BR>\n" );
document.write( "x=26<BR>\n" );
document.write( "now substituting x to find y<BR>\n" );
document.write( "x-y=7<BR>\n" );
document.write( "26-y=7<BR>\n" );
document.write( "26-7=y<BR>\n" );
document.write( "19=y<BR>\n" );
document.write( "the numbers are 19 and 26 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );