At a graduation dinner, an equal number of guests was seated at each of 4 large tables, and 7 late-arriving guests were seated at a smaller table. There were 55 guests in all. If n represents the number of people seated at each of the large tables, what equation could you use to find the value of n?'

The equation 4n + 7 = 55 is used to find the value of n.

The value of n is founded as n=12.

Step-by-step explanation:

Let 'n' be the number of people seated at each of the 4 large tables.

Total guests = guests in larger table + guests in small table.

The equation framed is 55 = 4n + 7

⇒ 4n = 55-7

⇒ 4n = 48

⇒ n = 12

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: