document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74450>Question 74450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of two positive numbers is 8. The larger is twice the smaller decreased by 7. Find the two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53447 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=53447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set up a small system of equations:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=8 ALIGN=MIDDLE  ALT=\"x-y=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >------>the difference between them is 7<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y=-7 ALIGN=MIDDLE  ALT=\"x-2y=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >----->the larger is 7 less than twice the smaller.\r<BR>\n" );
document.write( "\n" );
document.write( "Now solve the first for x and sub into the second:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2By%29-2y=-7 ALIGN=MIDDLE  ALT=\"%288%2By%29-2y=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8-y=-7 ALIGN=MIDDLE  ALT=\"8-y=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=15 ALIGN=MIDDLE  ALT=\"y=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore, x=23\r<BR>\n" );
document.write( "\n" );
document.write( "The numbers are 15 and 23.\r<BR>\n" );
document.write( "\n" );
document.write( "Check it out. The difference is 8: 23-15=8, CHECK.\r<BR>\n" );
document.write( "\n" );
document.write( "The larger is 7 less than twice the smaller: 2(15)-7=23, CHECK.\r<BR>\n" );
document.write( "\n" );
document.write( "See?. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );