Question

If 2/3 = x/y, then which of the following must be true?

(2 + x)/3 = (x + 2)/y
3/2 = x/y
(2 + 3)/3 = (x + y)/y
(2 + 1)/3 = (x + 1)/y

Answer 1

(2 + 3)/3 = (x + y)/y is the answer. So option three.

Answer 2

`(2+3)/(3)=(x+y)/(y)`

C is correct

Explanation:

Given:
`(2)/(3)=(x)/(y)`

We need to choose correct option which is equivalent to given equation.

`(2)/(3)=(x)/(y)`

Add both sides 1

`(2)/(3)+1=(x)/(y)+1`

Taking LCD and simplify it

`(2+3)/(3)=(x+y)/(y)`

Hence,
`(2)/(3)=(x)/(y)\Rightarrow (2+3)/(3)=(x+y)/(y)`