Solve the simultaneous equations sin x. cos y = 1/4 & 3 tan x = tan y.

Ans: x = -π/6 + (k + l)π ; k,l belong to Z

y = 2π/3 + (k - l)π ; k, l belong to Z

The approach to the problem is very direct. There is no difficulty in solving it. However, there seems to be a conflict with the given answer and my answer. Solving, I got two equations: x + y = kπ + (-1)^k * π/2

x - y = lπ - (-1)^l * π/6

Proceeding further, my answers dont match with the given solutions.

Please help!!