A car travels during the time period 0=t=6 if the car moves along a curve, so that its velocity at time t is v(t)=-(t-1)^2+ 4 m/s. Find the distance travelled by the car in the time period.
А. 36 m
B. -36 m
C. 18 m
D. -18 m

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.

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