Question

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

Answer 1

Answer:

The solution to the proportion $\frac{3y-8}{12}=\frac{y}{5}$ is $y=\frac{40}{3}$

Step-by-step explanation:

Given  proportion $\frac{3y-8}{12}=\frac{y}{5}$

WE have to find the solution for the given proportion.

Consider the given proportion $\frac{3y-8}{12}=\frac{y}{5}$.

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,

$y=\frac{40}{3}$

Thus, the solution to the proportion $\frac{3y-8}{12}=\frac{y}{5}$ is $y=\frac{40}{3}$

Answer 2

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