Question

7b + 3 – 4b = 3 – 3(b + 4)

(a) 3/2
(b) –2
(c) no solution
(d) all real numbers

Answer 1

Hello from MrBillDoesMath!

Answer: b

Discussion:

7b + 3 - 4b = 3 - 3(b+4) =>

7b + 3 - 4b = 3 - 3b -12 =>

(7b - 4b) + 3 = -3b - 9 =>

3b + 3 = -3b -9 => Add 9 to both sides

3b + 12 = -3b -9 + 9 =>

3b + 12 = -3b => ( add 3b to both sides)

6b + 12 = 0 => (subtract 12 from both sides)

6b = -12 =>

b = -12/6 = -2

Thank you,

MrB