Please help with the following problem. 3m-6n=12 4m-8n=16Is this problem dependent or inconsistent?

We have to solve for m and n given the system of
equations:

3m - 6n = 12
...(1)

4m - 8n = 16 ...(2)

If
both the sides of (1) are divided by 3, we get m - 2n =
4

Again, if both the sides of (2) are divided by 4, we get
m - 2n = 4

The two equations are not independent. This does
not allow us to obtain unique values of m and n. We can only say that for any value of m
or n they are related as m = 4 + 2n

The
equations are dependent and cannot be solved for unique solutions of m and
n.