document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31753>Question 31753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system:<BR>\n" );
document.write( "x^2+y^2=63<BR>\n" );
document.write( "x^2-3y^2=27\r<BR>\n" );
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document.write( "a. (3 sqrt6,3) (3 sqrt6, -3)\r<BR>\n" );
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document.write( "b. (3 sqrt 6,3) (3 sqrt6,-3) (-3 sqrt6,3) (-3sqrt6,-3)\r<BR>\n" );
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document.write( "c. (1 sqrt62) (1,-62) (-1 sqrt62) (-1 -sqrt62)\r<BR>\n" );
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document.write( "d. (-3 sqrt6,3) (-3 sqrt6,-3)\r<BR>\n" );
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document.write( "Thanks a bunch!!!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18367 by </B><A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><B>mukhopadhyay(490)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><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=18367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+y^2=63...........(1)<BR>\n" );
document.write( "x^2-3y^2=27 .........(2)<BR>\n" );
document.write( "Subtracting (2) from (1) gives<BR>\n" );
document.write( "4y^2 = 36<BR>\n" );
document.write( "=> y^2 = 9<BR>\n" );
document.write( "=> y=3 or y=-3<BR>\n" );
document.write( "Using equation(1), If y=3 or -3, x^2 = 63-y^2 = 63-9 = 54<BR>\n" );
document.write( "=> x=sqrt(54)or x=-sqrt(54)<BR>\n" );
document.write( "=> x=3sqrt(6) or x=-3sqrt(6)<BR>\n" );
document.write( "Correct option for the answer is b </SPAN>\n" );
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