Question

Find all fractions which can be written simultaneously in the forms (7k - 5)/(5k - 3) and (6I - 1)/(4I - 3), for some integers k,l.

Answer 1

in the same way we can find the other solution

(k, l) = (13, – 7), (– 15, – 9), (0, 6), (– 2, – 22), (6, – 6),(–8, – 10),(1, –1),(–3, –15)

so total 8 solutions