AMC 12 2024b Problem 13

There are real numbers $x,y,h$ and $k$ that satisfy the system of equations$$x^2 + y^2 - 6x - 8y = h$$$$x^2 + y^2 - 10x + 4y = k$$What is the minimum possible value of $h+k$?

$\textbf{(A) }-54 \textbf{(B) }-46 \textbf{(C) }-34 \textbf{(D) }-16 \textbf{(E) }16$