document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984933>Question 984933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm suppose to solve this system of equations. I know substitution is the best way to try and solve it. \r<BR>\n" );
document.write( "\n" );
document.write( "1000=ar^5<BR>\n" );
document.write( "10=ar^3\r<BR>\n" );
document.write( "\n" );
document.write( "I've already been given the solution, I just don't know how to go about solving it.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #605764 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=605764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1000 = ar^5<BR>\n" );
document.write( "10 = ar^3 <BR>\n" );
document.write( "solve second equation for a<BR>\n" );
document.write( "a = 10 / r^3<BR>\n" );
document.write( "now substitute for a in first equation<BR>\n" );
document.write( "1000 = (10 / r^3) * r^5<BR>\n" );
document.write( "1000 = 10 * r^2<BR>\n" );
document.write( "r^2 = 100<BR>\n" );
document.write( "r = 10<BR>\n" );
document.write( "**************************************<BR>\n" );
document.write( "substitute for r in second equation<BR>\n" );
document.write( "10 = a * (10^3)<BR>\n" );
document.write( "a = 10 / 1000 = 1 / 100<BR>\n" );
document.write( "**************************************<BR>\n" );
document.write( "check our answers<BR>\n" );
document.write( "1000 = (1 / 100) * 10^5<BR>\n" );
document.write( "1000 = (1 / 100) * 100000<BR>\n" );
document.write( "1000 = 1000<BR>\n" );
document.write( "**************************************<BR>\n" );
document.write( "1000 = 10 * 10^2<BR>\n" );
document.write( "1000 = 10 * 100<BR>\n" );
document.write( "1000 = 1000<BR>\n" );
document.write( "our answers check, therefore<BR>\n" );
document.write( "r = 10 and a = 1 / 100<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );