For positive real numbers $a, x$ and $y$ $$\begin{aligned}
& -2x^{2} + y^{2} = 2a \\
& 3x^{2} - 2y^{2} = -6a
\end{aligned}$$ what is the ratio $\dfrac{y}{x}$? A) 1 B) $\sqrt{2}$ C) $\sqrt{3}$ D) 2 E) 3
For positive real numbers $a, x$ and $y$
$$\begin{aligned}
& -2x^{2} + y^{2} = 2a \\
& 3x^{2} - 2y^{2} = -6a
\end{aligned}$$
what is the ratio $\dfrac{y}{x}$?
A) 1
B) $\sqrt{2}$
C) $\sqrt{3}$
D) 2
E) 3