Answer:
z=1/4
Step-by-step explanation:
z-(1/5)=z(1/5)
z-(1/5)=z/5
5z-(5/5)=z
5z-1=z
-1=-4z
1/4=z
Therefore, z=1/4
The value of z for the given condition is given by 1/4.
Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.
Here the given mathematical condition is that the difference of z and one fifth is the same as the product of z and one fifth.
One fifth is = 1/5
Difference between z and one fifth is given by = z-1/5
Product of z and one fifth is given by = z*(1/5) = z/5
So according to the condition the mathematical equation would be,
z-1/5 = z/5
z-z/5 = 1/5
(5z-z)/5 = 1/5
4z/5 = 1/5
4z = 5*(1/5)
4z = 1
z = 1/4
Hence the required value of z is 1/4.
Learn more about Equation here -
https://brainly.com/question/2972832
#SPJ2
