Question

Q1. Find the value of the variables using transposition method:-
a. 2 n + 6 = 1 8
b. 5 d - 6 = 2 4
c. 6x + 3 = 27
d. 5a + 25 = 75
e. 3x + 5 = 32

Answer 1

Answer:

a. 2n+6=18

2n=18-6

2n=12

n=12/2

n=6

b. 5d-6=2

5d=2+6

5d=8

d=8\5

c. 6x+3=27

6x=27-3

6x=24

x=24\3

x=8

d. 5a+25=75

5a=75-25

5a=50

a=50\5

a=10

e. 3x+5=32

3x=32-5

3x=27

x=27\3

x=9

Answer 2

$5 d - 6 = 2 4 \\ = 5d = 24 + 6 \\ = d = \frac{30}{5 } \\ = d = 6$

$6x + 3 = 27 \\ = 6x = 27 - 3 \\ = x = \frac{24}{6} \\ = x = 4$

$5a + 25 = 75 \\ = 5a = 75 - 25 \\ = a = \frac{50}{5} \\ = a = 10$