Question

Algebra: Distributive Property
Solve for variables using distributive property and balancing method.

A.) 3.5 (4.5p - 6) = 89.25
B.) 3y + 6 (y - 2) = 20
C.) 2½ (n - 1) + 0.5 (n + 3) = 8

Answer 1

Answer:

A. 3.5 (4.5p - 6) = 89.25

    ⇒ 3.5 (-1.5p) = 89.25

    ⇒ -5.25p = 89.25

p = 89.25/-5.25

p = -17

B. 3y + 6 (y - 2) = 20

   ⇒ 3y + (6y- 12) = 20

   ⇒ 3y + 6y- 12  = 20

  ⇒ 9y-12= 20

 ⇒ 9y = 20+12

  ⇒9y = 32

  ⇒ y = 32/9

   y = 3.55

C. IN ATTACHMENT