document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698848>Question 698848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solving Non-Linear Systems?<BR>\n" );
document.write( " x^2+y^2=35<BR>\n" );
document.write( "4x^2-9y^2=36\r<BR>\n" );
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document.write( "Please show step by step. Thank You.\r<BR>\n" );
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document.write( "---Jawairia N. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431071 by </B><A HREF=/tutors/aboutme.mpl?userid=Simnepi><B>Simnepi(216)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Simnepi><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=Simnepi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=431071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve equations of this type just think of the squared terms as being linear terms(if that makes sense!)<BR>\n" );
document.write( "x^2 + y^2 = 35 Equation (1)<BR>\n" );
document.write( "4x^2 - 9y^2 = 36 Equation (2)<BR>\n" );
document.write( "Rearranging (1) gives<BR>\n" );
document.write( "x^2 = 35 - y^2 Equation (3)<BR>\n" );
document.write( "Substitute this value into (2) giving<BR>\n" );
document.write( "4(35 - y^2) - 9y^2 = 36<BR>\n" );
document.write( "Therefore<BR>\n" );
document.write( "140 - 4y^2 -9y^2 = 36<BR>\n" );
document.write( "Simplifying and gathering terms to either side gives<BR>\n" );
document.write( "-13y^2 = -104<BR>\n" );
document.write( "therefore <BR>\n" );
document.write( "y^2 = 8<BR>\n" );
document.write( "Substitute this value into (1) giving<BR>\n" );
document.write( "x^2 + 8 = 35<BR>\n" );
document.write( "Therefore<BR>\n" );
document.write( "x^2 = 27<BR>\n" );
document.write( "now the values of x and y are <BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%288%29 ALIGN=MIDDLE  ALT=\"sqrt%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2827%29 ALIGN=MIDDLE  ALT=\"sqrt%2827%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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