Question

Solve the following equations. (a) 4 = 5(p – 2) (b) – 4 = 5(p – 2) (c) 16 = 4 + 3(t + 2) (d) 4 + 5(p – 1) = 34 (e) 0 = 16 + 4(m – 6)​

Answer 1

Answer:

Solution:

We use the concepts of simple linear equations and fundamental operations like addition, subtraction, multiplication and division to solve the problem.

(a) 4 = 5(p - 2)

4 = 5p - 10

5p = 4 + 10

Therefore, p = 14/5

(b) - 4 = 5(p - 2)

- 4 = 5p - 10

- 4 + 10 = 5p

6 = 5p

Therefore, p = 6/5

(c) 16 = 4 + 3(t + 2)

16 = 4 + 3t + 6

16 - 10 = 3t

6 = 3t

t = 6/3 = 2

(d) 4 + 5(p - 1) = 34

4 + 5p - 5 = 34

5p - 1 = 34

5p = 35

p = 35/5

p = 7

(e) 0 = 16 + 4(m - 6)

0 = 16 + 4m - 24

8 = 4m

m = 8/4

m = 2