Let x be the number of people in Hill section
Let y be the number of people in Lake section
The town has a population of 4298.
x + y = 4298 -------> first equation
The number of people live in Hill section is 188 more than twice the number of people live in the lake section
Hill section = 2 (lake section) + 188
x = 2y + 11 -------> second equation
Plug in second equation in first equation
x + y = 4298
2y + 11 + y = 4298
3y + 11 = 4298 (subtract 11 on both sides)
3y = 4287 (divide both sides by 3)
y = 1429
x = 2y + 11 -------> second equation
Plug in y in the second equation
x = 2(1429) + 11
x = 2858 +11
x= 2869
The number of people in Hill section= 2869
The number of people in Lake section= 1429