The table above shows the population of Greenleaf, Idaho, for the years 2000 and 2010. If the relationship between population and year is linear, which of the
following functions P models the population of
Greenleaf t years after 2000?
A) P(t) = 862 - 1.6t
B) P(t) = 862 - 16t
C) P(t) = 862 +16(t - 2,000)
D) P(t) = 862 - 1.6(t - 2,000)

The solution to the system of equations (-2,2)

So the first thing we do is to multiply the top equation by 3. the reason i want to do this is i notice there will be a 6y on both equations and can possibly add/subtract them. so we get 6y = -3x + 27. adding that and the second equation we get 6x = 27-15 which is 12. divide by 6 and we get 2. ∴ x = 2. substituting 2 into the first equation we get 2y = -2 + 9 which is 7. divide by 2 and we get 7/2. ∴ y = 7/2, x = 2.