Problem Solving (PS) | If x and y are integers such that 4x + 3y = 3xy, how many distinct

4x = 3y(x-1)

x / (x-1) = 3y / 4

when y = 2, RHS is 3 / 2. LHS can become the same when x = 3.
when x = -3, LHS becomes 3 / 4. RHS can become the same when y = 1.
Hence, we have three pairs: (0,0), (3,2) and (-3,1).

Statistics : Posted by sldisek783 • on 24 Sep 2023, 02:07 • Replies 2 • Views 619

---