Question

Given b = - 14 which equation is true

A. -28 + 2b = 53
B. 2b + 7 = 20
C. 6/7 + 18 = 16
D. b/2 + 7.4 = 1.4

Answer 1

b/2 + 7.4 = 1.4 thus D. is the answer

Explanation:

Solve for b:

b/2 + 7.4 = 1.4

Put each term in b/2 + 7.4 over the common denominator 2: b/2 + 7.4 = b/2 + 14.8/2:

(b/2 + 14.8/2) = 1.4

b/2 + 14.8/2 = (b + 14.8)/2:

((b + 14.8)/2) = 1.4

Multiply both sides of (b + 14.8)/2 = 1.4 by 2:

(2 (b + 14.8))/2 = 2×1.4

(2 (b + 14.8))/2 = 2/2×(b + 14.8) = b + 14.8:

b + 14.8 = 2×1.4

2×1.4 = 2.8:

b + 14.8 = 2.8

Subtract 14.8 from both sides:

b + (14.8 - 14.8) = 2.8 - 14.8

14.8 - 14.8 = 0:

b = 2.8 - 14.8

2.8 - 14.8 = -12:

Answer: b = -12