Simplify the following expression and justify each step in your simplification. 5(7-x)+6x(3x+4) i know the answer is 18x^2+19x+35 but i need the process of getting there

Step-by-step explanation:

We have been given an expression . We are asked to simplify our given expression.

We will use distributive property to solve our given problem.

Combine like terms:

Therefore, the simplified form of our given expression is .

Let the cost of a chicken be x and the cost of a duck, y, then

50x + 30y = 550 . . . (1)
44x + 36y = 532 . . . (2)

(1) x 6 ⇒ 300x + 180y = 3,300 . . . (3)
(2) x 5 ⇒ 220x + 180y = 2,660 . . . (4)

(3) - (4) ⇒ 80x = 640
⇒ x = 640 / 80 = 8

From (1): 50(8) + 30y = 550
⇒ 30y = 550 - 400 = 150
⇒ y = 150 / 30 = 5

Therefore, the price of a chicken is $8 and the price of a duck is $5.