Question

find the value of z

$\: 2z + \frac{8}{3} = \frac{1}{4} z + 5 \:$
​

Answer 1

Step-by-step explanation:

Correct option is D)

Given, $$2z + \dfrac{8}{3} = \dfrac{1}{4} z + 5$.

Transposing

3

8

to RHS and it becomes −

3

8

and

4

1

z to LHS it becomes −

4

1

z,

⇒ 2z−

4

1

z=5−

3

8

⇒

4

(8−1)

z=

3

(15−8)

⇒

4

7

z=

3

7

.

Multiplying both side by

7

4

.

⇒

4

7

z×

7

4

=

3

7

×

7

4

⇒ z=

3

4

.

Hence, option D is correct.