document.write( "Question 473872: find all solutions of the system of equations.\r
\n" ); document.write( "\n" ); document.write( "{x + sqrt (y) = 0
\n" ); document.write( "{y^2 - 2x^2 = 3
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Algebra.Com's Answer #325055 by robertb(5830)\"\" \"About 
You can put this solution on YOUR website!
\"x+=+-sqrt%28y%29\"
\n" ); document.write( "Substitute into the bottom equation:\r
\n" ); document.write( "\n" ); document.write( "\"y%5E2+-+2y+=+3\", or \"y%5E2+-+2y+-+3+=+0\"\r
\n" ); document.write( "\n" ); document.write( "<==> (y - 3)(y + 1) = 0 ==> y = 3, -1\r
\n" ); document.write( "\n" ); document.write( "eliminate y = -1 (Why?)\r
\n" ); document.write( "\n" ); document.write( "==> \"x+=+-sqrt%283%29\"\r
\n" ); document.write( "\n" ); document.write( "The solution point is thus (\"-sqrt%283%29\", 3)
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