Question 16
Show that no non-zero integers $a$, $b$, $x$, $y$ satisfy
$$
\begin{cases} ax - by = 256 \\ ay + bx = 1 \end{cases}
$$
$$
\begin{cases} ax - by = 256 \\ ay + bx = 1 \end{cases}
$$
MathNet 2021 — Part 02 Question 16
Math Olympiad Vault · MathNet 2021 — Part 02