document.write( "Question 30340: Solve the system:
\n" ); document.write( "x^2+y^2=63
\n" ); document.write( "x^2=3y^2=27\r
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Algebra.Com's Answer #17211 by sdmmadam@yahoo.com(530)\"\" \"About 
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Solve the system:
\n" ); document.write( "x^2+y^2=63
\n" ); document.write( "x^2=3y^2=27\r
\n" ); document.write( "\n" ); document.write( "If the problem is
\n" ); document.write( "x^2+y^2=63 ----(1)
\n" ); document.write( "x^2-3y^2=27 ----(2)
\n" ); document.write( "(1) - (2)
\n" ); document.write( "(x^2-x^2)+[y^2-(-3y^2)]= 63-27
\n" ); document.write( "0 + (y^2+3y^2) = 36
\n" ); document.write( "4y^2 = 36
\n" ); document.write( "y^2 = 36/4 = 9 ----(*)
\n" ); document.write( "y = +3 or y = -3
\n" ); document.write( "y^2 = 9 in (1) gives
\n" ); document.write( "x^2+y^2 = 63
\n" ); document.write( "x^2+9 = 63
\n" ); document.write( "x^2 = 63-9
\n" ); document.write( "x^2=54 ----(**)
\n" ); document.write( "x= +[sqrt(54)] and x = -[sqrt(54)]
\n" ); document.write( "Answer:(sqrt(54),3), (sqrt(54),-3), (-sqrt(54),3),(-sqrt(54),-3)
\n" ); document.write( "That is (3sqrt(6),3),(3sqrt(6),-3),(-3sqrt(6),3),(-3sqrt(6),-3),\r
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