I got this question wrong on a test, I know I set up my expression incorrectly but I don't know how/where. Can I please ask that when you reply, to include as much detail as possible so I understand how I went wrong?

Find parametric equations for the line tangent to the curve of the intersection of the surfaces

x^3+8x^2y^2+y^3-9xy-z^2=0 and x^2+y^2+z^2=3 at the point P(1,1,1).

Find parametric equations for the line tangent to the curve of the intersection of the surfaces x" + 8x y +y -9xy - z