Find $\frac {dy}{dx}$ in the following: $x^2 +xy + y^2 = 100$

Question

$\begin{array}{1 1} -\large \frac{2x+y}{2y+x} \\ \large \frac{2x+y}{2y+x} \\ -\large \frac{2y+x}{2x+y} \\ \large \frac{2y+x}{2x+y} \end{array}$