I can anyone help me understanding this problem

Question

Let F and G be sequences which satisfy the joint recursion:

𝐹𝑛+1 = 𝑎𝐹𝑛 + 𝑏𝐺𝑛

𝐺𝑛+1 = 𝑐𝐹𝑛 + 𝑑𝐺𝑛

Where a, b, c, and d are non-zero constants. Find recursions for F and G individually.

Answer 1

I talk about the solution method briefly in this video.