4n=3m+1
This must mean that:
n=1
and
m=1
This is due to the two graphs of 4n and 3m+1 being equal at (1,1) if (m,n) now, because n,m are different, for all intents and purposes being synonymous with x,y, then certainly they can be equal at other points on a plane, but this is the first time that they are equal. If you were to try to find a series to explain the relationship between the two you'd say:
For all cases were 4n=3m+1,
m=(4n-1)/3
and
n=(3m+1)/4
You're probably only working with whole numbers, so it would be best to only focus on cases where whole number intersections occur. Take for example if:
n=7
Then
m=9
