Find a lambda term satisfying two equations

Question

I'm just looking for the general idea on how to approach the following problem:

Find a term $\Delta=\lambda x.xUV$ such that:

1. $\Delta\Delta=K$
2. $\Delta K=S$

(it's a system of 2 equations, I didn't know how to format it properly)

Where $K=\lambda xy.x$ and $S=\lambda xyz.xz(yz)$

I think I need to use Bohm theorem but I don't know exactly how.