document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970302>Question 970302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lily and Rosie are sisters. The sum of their age is 19 and the positive difference if their age is 9. Set up a system of equations involving Lily's age, L, and Rosie's age, R, assuming Lily is the older child. Solve the system to find the ages </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592963 by </B><A HREF=/tutors/aboutme.mpl?userid=erica65404><B>erica65404(394)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=erica65404><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=erica65404><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of their age is 19.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This means that when you add their ages together, it will be 19.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+%2B+R+=+19 ALIGN=MIDDLE  ALT=\"L+%2B+R+=+19\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The positive difference of their age is 9.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "It tells you that Lily is the older child. <BR>\n" );
document.write( "Since the difference is a positive number, that means it would be Lily's age minus Rosie's age since Lily is older.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+-+R+=+9 ALIGN=MIDDLE  ALT=\"L+-+R+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now you have 2 equations that can be used to find their ages.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Start with the first equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2BR=19 ALIGN=MIDDLE  ALT=\"L%2BR=19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solve for L<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2BR=19 ALIGN=MIDDLE  ALT=\"L%2BR=19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2BR-R=19-R ALIGN=MIDDLE  ALT=\"L%2BR-R=19-R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=19-R ALIGN=MIDDLE  ALT=\"L=19-R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now use the substitution method (replacing or \"substituting\" L with 19-R) for the next equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L-R=9 ALIGN=MIDDLE  ALT=\"L-R=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2819-R%29-R=9 ALIGN=MIDDLE  ALT=\"%2819-R%29-R=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19-2R=9 ALIGN=MIDDLE  ALT=\"19-2R=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19-19-2R=9-19 ALIGN=MIDDLE  ALT=\"19-19-2R=9-19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2R=-10 ALIGN=MIDDLE  ALT=\"-2R=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29R%2F-2+=+%28-10%29%2F-2 ALIGN=MIDDLE  ALT=\"%28-2%29R%2F-2+=+%28-10%29%2F-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=5 ALIGN=MIDDLE  ALT=\"R=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rosie's age is 5. Now use the first equation to find Lily's age.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2BR=19 ALIGN=MIDDLE  ALT=\"L%2BR=19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2B5=19 ALIGN=MIDDLE  ALT=\"L%2B5=19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2B5-5=19-5 ALIGN=MIDDLE  ALT=\"L%2B5-5=19-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=14 ALIGN=MIDDLE  ALT=\"L=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Lily's age is 14.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "If you have questions, email me at ericahigley@yahoo.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );