We have,

4x + 6y = 3xy …(i)

8x + 9y = 5xy …(ii)

Now, dividing (i) and (ii) by xy we get:

…(iii)

Also, …(iv)

Now, multiplying (iii) by2 and then subtracting it from (iv) we get:

∴ x = 3

Now, substituting the value of x in (iii) we get:

∴ y = 4

Hence, option C is correct