Question 8
There are real numbers $x$, $y$, $h$, and $k$ that satisfy the system of equations
$$
\begin{aligned}
x^2 + y^2 - 6x - 8y &= h \\
x^2 + y^2 - 10x + 4y &= k.
\end{aligned}
$$
What is the minimum possible value of $h + k$?
(A) -54 (B) -46 (C) -34 (D) -16 (E) 16
$$
\begin{aligned}
x^2 + y^2 - 6x - 8y &= h \\
x^2 + y^2 - 10x + 4y &= k.
\end{aligned}
$$
What is the minimum possible value of $h + k$?
(A) -54 (B) -46 (C) -34 (D) -16 (E) 16