Question

4-2(z-4)/3=1/2(2z+5)

Answer 1

Step-by-step explanation:

4-2(z-4)/3=1/2(2z+5)

12-2z+8/3=(2z+5)/2

20-2z/3=(2z+5)/2

LCM=6

6 (20-2z)/3=6 (2z+5)/2

2 (20-2z)=3 (2z+5)

40-4z=6z+15

-4z-6z=-40+15

-10z=-25

-z=-25/10

-z=-5/2

negative ,negative on both will be removed.

z=5/2.

Answer 2

Answer:

The value of z is 2.5.

Step-by-step explanation:

We have the equation

$4 - \frac{2(z - 4)}{3} = \frac{1}{2}(2z + 5)$

In the equation,there is two terms in the left hand side or L.H.S. of the equation and one term in the Right hand side or R.H.S. of the equation.

To solve this equation, first we have calculate the L.H.S. of the equation.

$\frac{4 \times 3 - 2(z - 4)}{3} = \frac{2z + 5}{2}$

Or,

$\frac{12 - 2(z - 4)}{3} = \frac{2z + 5}{2}$

Or,

$\frac{12 - 2z + 8}{3} = \frac{2z + 5}{2}$

(Opening the bracket)

Or,

$\frac{20 - 2z}{3} = \frac{2z + 5}{2}$

Or,

$2 \times (20 - 2z) = 3 \times (2z + 5)$

(By cross multiplying)

$40- 4z = 6z + 15$

(Opening the bracket)

$- 4z - 6z = 15 - 40$

$- 10z = - 25$

$10z = 25$

$z = \frac{25}{10}$

Or,

$z = 2.5$

Conclusion:

The value of z is found to be 2.5.