Question

What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?

1 )n = −2
2) n = 4
3 )n = fraction 1 over 2
4) n = fraction 2 over 3

Answer 1

It's C : n=1/2

Have a great day :)

Answer 2

value of n = 2

Explanation:

`(4)/(5n)-(1)/(5)=(2)/(5n)`

We need to solve the above equation.

Find Least Common multiplier from 5n, 5 = 5n

Multiply both sides of the equation by 5n

`(4)/(5n)*5n-(1)/(5)*5n=(2)/(5n)*5n\\Solving:\\4 -n = 2\\`

Now finding the value of n.

Adding -4 on both sides

`4 -n-4 = 2-4\\-n= -2`

Multiplying both sides by -1

n = 2

The value of n is 2.

We can verify by putting value of n in the given question.

`(4)/(5n)-(1)/(5)=(2)/(5n)\\n=2\\(4)/(5*2)-(1)/(5)=(2)/(5*2)\\(4)/(10)-(1)/(5)=(2)/(10)\\(2)/(5)-(1)/(5)=(1)/(5)\\(2-1)/(5)=(1)/(5)\\(1)/(5)=(1)/(5)`

So, value of n = 2