Question

Simplify and solve each of the following equations.

a. 9h + 8 – 12 = –40
b. 9 + 6g + 1 = 100
c. –45 = 28 – 13 + 10b
d. 37 = 11 + 3b – 19

Answer 1

A. h = 4

B. g = 15

C. b = -6

D. b = 15

Explanation:

A. 9h + 8 - 12 = -40

9h - 4 = -40

+ 4 + 4

9h = -36

`(9h)/(9) = (-36)/(9)`

h = -4

B. 9 + 6g + 1 = 100

10 + 6g = 100

- 10 - 10

6g = 90

`(6g)/(6) = (90)/(6)`

g = 15

C. -45 = 28 - 13 + 10b

-45 = 15 + 10b

- 15 - 15

-60 = 10b

`(-60)/(10) = (10b)/(10)`

b = -6

D. 37 = 11 +3b - 19

37 = 3b - 8

+ 8 + 8

45 = 3b

`(45)/(3) = (3b)/(3)`

15 = b