Question 164
Find all pairs of real numbers $x$ and $y$ which satisfy the equations
$$
x + \frac{1}{y-x} = 1,
$$
$$
y + \frac{1}{x-y} = 2.
$$
$$
x + \frac{1}{y-x} = 1,
$$
$$
y + \frac{1}{x-y} = 2.
$$
MathNet 2015-part-05 — 191 problems (EN–VI) Question 164
Math Olympiad Vault · MathNet 2015-part-05 — 191 problems (EN–VI)