Question

(3/7z-1/2)/(z-1/4)-3/14=1/7

Answer 1

I hope you got your answer

Answer 2

Answer:

$z=\frac{23}{4}$  

Step-by-step explanation:

Given : Expression $\frac{\frac{3}{7}z-\frac{1}{2}}{z-\frac{1}{4}}-\frac{3}{14}=\frac{1}{7}$

To find : Evaluate the expression ?

Solution :

$\frac{\frac{3}{7}z-\frac{1}{2}}{z-\frac{1}{4}}-\frac{3}{14}=\frac{1}{7}$

$\frac{\frac{6z-7}{14}}{\frac{4z-1}{4}}=\frac{1}{7}+\frac{3}{14}$

$\frac{6z-7}{14}\times \frac{4}{4z-1}=\frac{14+21}{98}$

$\frac{24z-28}{14(4z-1)}=\frac{35}{98}$

$\frac{24z-28}{14(4z-1)}=\frac{5}{14}$

$24z-28=20z-5$

$4z=23$

$z=\frac{23}{4}$