The Smith family likes to fish for trout, and they are trying to decide which lake to go fishing on for the weekend. Long Lake and Square Lake both have both trout and perch populations. If x represents perch, and y represents trout per acre in the following equations, please solve the systems of equations that represent the fish populations in each lake, and then determine which lake the family would find more optimal in terms of the possibility of catching trout.

Long Lake:

y = 3x -1

y = x + 3

Square Lake:

2x - 3y = 5

1/2x - y = 1