document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1080451>Question 1080451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the solutions to the following systems of equations:<BR>\n" );
document.write( "(a){x^2+y^2= 100<BR>\n" );
document.write( "    y&#8722;x= 2<BR>\n" );
document.write( "(b){y&#8722;log base9(x+ 1) = 0<BR>\n" );
document.write( "    y&#8722;log base9(x) = 1/2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #694569 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=694569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the solutions to the following systems of equations:<BR>\n" );
document.write( "(a){x^2+y^2= 100<BR>\n" );
document.write( "y&#8722;x= 2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x^2 + (x+2)^2 = 100<BR>\n" );
document.write( "x^2 + x^2 + 4x -96 = 0<BR>\n" );
document.write( "x^2 + 2x - 48 = 0<BR>\n" );
document.write( "x = 6 or x = -8<BR>\n" );
document.write( "If x = 6, y = -9<BR>\n" );
document.write( "If x = -8, y = <BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "(b){y&#8722;log base9(x+ 1) = 0<BR>\n" );
document.write( "y&#8722;log base9(x) = 1/2.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Substitute for \"y\":<BR>\n" );
document.write( "log9(x)+(1/2) - log9(x+1) = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "log9[x/(x+1)] = -1/2<BR>\n" );
document.write( "x/(x+1) = 9*(-1/2)<BR>\n" );
document.write( "x/(x+1) = 1/3<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "3x = x+1<BR>\n" );
document.write( "2x = 1<BR>\n" );
document.write( "x = 1/2<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );