Question

Find the value of y in the equation

Answer 1

It should be y=19/8.
Is it multiple choice.

Answer 2

The value of
`y = 2(3)/(8)`

Explanation:

Given an equation :
`(3)/(y-2)=8`

Cross multiplying states that multiplying the numerator of each fraction by the other's denominator.

`(a)/(b)= (c)/(d)` or

`a\cdot d = b \cdot c`

Now, we use cross multiply for the given equation:

we can write it as :
`(3)/(y-2)=(8)/(1)`

then,
`3\cdot 1 = (y-2) \cdot 8`

Using distributive property on right hand side :
`a(b-c)= a\cdot b- a\cdot c`

we have,

`3=8y-16`

Adding 16 both the sides we get,

`3+16=8y-16+16`

Simplify:

`8y = 19`

Divide by 8 both sides, we get

`y=(19)/(8)` or
`y = 2(3)/(8)`

therefore, the value of y is,
`y = 2(3)/(8)`