Suppose you need to know an equation of the tangent plane

Question

Suppose you need to know an equation of the tangent plane to a surface S at the point P(2, 1, 3). You don't have an equation for S but you know that the curves

r₁(t) = (2 + 3t, 1 - t², 3 - 4t + t²)

r₂(u) = (1 + u², 2u³ - 1, 2u + 1)

both lie on S. Find an equation of the tangent plane at P.