Find the perpendicular projection to an intersection line

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Let K be the intersection curve of surfaces

$M_1 : x^2+y^2-5z^3=8$

and

$M_2 : 8x^2-2y^2+6z^3=20$

Give a cartesian equation for the perpendicular projection $K_0$ of the curve K on the $(x,y)$-plane

How can I start this problem?