Giải thích các bước giải:
Ta có:
\(\begin{array}{l}
\frac{{a + 2019}}{{a - 2020}} = \frac{{b + 2019}}{{b - 2020}}\\
\Leftrightarrow \left( {a + 2019} \right)\left( {b - 2020} \right) = \left( {b + 2019} \right)\left( {a - 2020} \right)\\
\Leftrightarrow ab - 2020a + 2019b - 2019.2020 = ab - 2020b + 2019a - 2019.2020\\
\Leftrightarrow - 2020a + 2019b = - 2020b + 2019a\\
\Leftrightarrow 4039a = 4039b\\
\Leftrightarrow a = b
\end{array}\)