FERMAT 2024 Problem 18

Suppose that x and y are real numbers that satisfy the two equations

\begin{aligned} 3 x+2 y & =6 \\ 9 x^2+4 y^2 & =468 \end{aligned}

What is the value of x y ?

Answer Choices
A. -36
B. -12
C. -32
D. -120
E. -32