Let $x$ and $y$ be positive real numbers such that $$\begin{aligned}
& x ^ { 2 } + 3 y ^ { 2 } = 8 \\
& 2 x ^ { 2 } + y ^ { 2 } = 6
\end{aligned}$$ What is the product $x \cdot y$? A) 2 B) 4 C) 6 D) 8 E) 10
Let $x$ and $y$ be positive real numbers such that
$$\begin{aligned}
& x ^ { 2 } + 3 y ^ { 2 } = 8 \\
& 2 x ^ { 2 } + y ^ { 2 } = 6
\end{aligned}$$
What is the product $x \cdot y$?\\
A) 2\\
B) 4\\
C) 6\\
D) 8\\
E) 10