Question 175
Find all pairs of real numbers $x$ and $y$ that satisfy the equations
$$
\begin{aligned}
& x+\frac{1}{y-x}=1 \\
& y+\frac{1}{x-y}=2
\end{aligned}
$$
$$
\begin{aligned}
& x+\frac{1}{y-x}=1 \\
& y+\frac{1}{x-y}=2
\end{aligned}
$$
MathNet 2015-part-05 — 191 problems (EN–VI) Question 175
Math Olympiad Vault · MathNet 2015-part-05 — 191 problems (EN–VI)