AMC 12B 2024 Problem 13. Minimum Value of System of Quadratic Equations

There are real numbers x, y, h and k that satisfy the system of equationsx^2 + y^2 - 6x - 8y = hx^2 + y^2 - 10x + 4y = kWhat is the minimum possible value of h + k? (A) -54(B) -46(C) -34(D) -16(E) 16