Question

What is the solution to the proportion 3y-8/12=y/5? can someone help me do this?

Answer 1

`\displaystyle\\ (3y-8)/(12) = (y)/(5) \\ \\ 5(3y-8)=12y\\\\ 15y-40=12y\\\\ 3y = 40\\\\ \boxed{y = (40)/(3)}`

Answer 2

The solution to the proportion
`(3y-8)/(12)=(y)/(5)` is
`y=(40)/(3)`

Explanation:

Given proportion
`(3y-8)/(12)=(y)/(5)`

WE have to find the solution for the given proportion.

Consider the given proportion
`(3y-8)/(12)=(y)/(5)`.

Cross multiply the terms, we get,

5 (3y - 8) = 12( y )

Simply the terms by multiplying 5 by each term in brackets, we get,

15y - 40 = 12y

taking y terms one sides, we get,

15y - 12y = 40

On simplifying , we get,

3y = 40

Divide both side by 3, we have,

`y=(40)/(3)`

Thus, the solution to the proportion
`(3y-8)/(12)=(y)/(5)` is
`y=(40)/(3)`