B) Yellowstone National Park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both
planned trips there. The senior class at High School A rented and filled 2
vans and 8 buses with 254 students. High School B rented and filled 6 vans
and 11 buses with 398 students. Every van had the same number of
students in it as did the buses. Find the number of students in each van and
in each bus.

32

step-by-step explanation:

8

step-by-step explanation:

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: