document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=458999>Question 458999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please note that graphing is not allowed to solve this.\r<BR>\n" );
document.write( "\n" );
document.write( "If x^2+y^2=36 and (x^2/16)+(y^2/64)=1, then what are the values of x and y? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #314835 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=314835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If x^2 + y^2 = 36 and (x^2/16)+(y^2/64)=1, then what are the values of x and y?<BR>\n" );
document.write( "Get rid of the annoying fraction in the 2nd equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2F16%29%2B%28y%5E2%2F64%29=1 ALIGN=MIDDLE  ALT=\"%28x%5E2%2F16%29%2B%28y%5E2%2F64%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by 64 and we have<BR>\n" );
document.write( "4(x^2) + y^2 = 64<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use elimination with the 1st equation just as it is<BR>\n" );
document.write( "4x^2 + y^2 = 64<BR>\n" );
document.write( "x^2 + y^2 = 36<BR>\n" );
document.write( "----------------subtraction eliminates y^2, find x^2<BR>\n" );
document.write( "3x^2 = 28<BR>\n" );
document.write( "x^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F3 ALIGN=MIDDLE  ALT=\"28%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2828%2F3%29 ALIGN=MIDDLE  ALT=\"sqrt%2828%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%287%2F3%29 ALIGN=MIDDLE  ALT=\"2sqrt%287%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find y, replace x^2 with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F3 ALIGN=MIDDLE  ALT=\"28%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the 1st equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F3 ALIGN=MIDDLE  ALT=\"28%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + y^2 = 36<BR>\n" );
document.write( "y^2 = 36 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F3 ALIGN=MIDDLE  ALT=\"28%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=108%2F3 ALIGN=MIDDLE  ALT=\"108%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F3 ALIGN=MIDDLE  ALT=\"28%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2F3 ALIGN=MIDDLE  ALT=\"80%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2880%2F3%29 ALIGN=MIDDLE  ALT=\"sqrt%2880%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%285%2F3%29 ALIGN=MIDDLE  ALT=\"4sqrt%285%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );