Question 101
Suppose $x$ and $y$ are positive real numbers such that
$$
x + \frac{1}{y} = y + \frac{2}{x} = 3.
$$
Compute the maximum possible value of $x y$.
$$
x + \frac{1}{y} = y + \frac{2}{x} = 3.
$$
Compute the maximum possible value of $x y$.
MathNet 2022-part-06 — 196 problems (EN–VI) Question 101
Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)