document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115081>Question 115081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm sturggling with this problem.  Any help would be greatly appreciated.<BR>\n" );
document.write( "Solve the following non-linear system by substitution.\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+y^2=16<BR>\n" );
document.write( "x-2y=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83718 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=83718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following non-linear system by substitution. <BR>\n" );
document.write( "x^2+y^2=16<BR>\n" );
document.write( "x-2y=0<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "x = 2y<BR>\n" );
document.write( "Substitute into the 1st equation to solve for \"y\":<BR>\n" );
document.write( "(2y)^2 + y^2 = 16<BR>\n" );
document.write( "4y^2 + y^2 = 16<BR>\n" );
document.write( "5y^2 = 16<BR>\n" );
document.write( "y^2 = 16/5<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "y = 4/sqrt(5) = (4/5)sqrt(5) <BR>\n" );
document.write( "OR <BR>\n" );
document.write( "y = (-4/5)sqrt5<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Substitute into x = 2y to get:<BR>\n" );
document.write( "x = 2[(4/5)sqrt5] = (8/5)sqrt(5)<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "x = 2(-4/5)sqrt5 = (-8/5)sqrt(5)<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );