Please solve this equation algebraically. 9(b - 4) - 7b = 5(3b -2)

And show your work.

b  = -2

Step-by-step explanation:

  Given expression:

        9(b - 4) - 7b = 5(3b -2)

Using distributive properties, open the parentheses;

     9b - 36 - 7b = 15b - 10

      2b - 36 = 15b -10

 collect like terms;

       2b - 15b  = - 10 + 36

          -13b = 26

Divide both sides by -13;

      b  = -2

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: