Answer:
In year 2026 population of both the states will be same.
Step-by-step explanation:
It has been given in the question that the population y of State A in year x will be represented by the equation
-3x + y = 11,400
⇒ y = 11,400 + 3x --------(1)
Similarly, equation that represents the population for State B is
-138x + y = 8,000
⇒ y = 138x + 8,000 -------(2)
If population y for both the states are equal then
3x + 11,400 = 138x + 8,000
11400 - 8000 = 138x - 3x
135x = 3400
x = 25.19 [After 25 years ]
Since x = 0 represents the population of the states in year 2000
therefore, population y will be same in both the states in year (2000 + 26)
= 2026