# Not that fast!

Algebra Level 2

The real numbers $x$ and $y$ are such that $x + \frac{2}{y} = \frac{8}{3}$, and $y + \frac{2}{x} = 3$.

The value $x + y$ can be expressed as $\frac{m}{n}$ for positive coprime integers $m$ and $n$.

Find $m^{2} - n^{2}$.

×