Question

If (x + 2)/2 = y/5, then which of the following must be true?

x/2 = (y-2)/5
x/2 = (y-515
(x+2)/5 = y/25​

Answer 1

`(x)/(2) = ((y - 5))/(5)`

Explanation:

We are given the equation
`((x + 2))/(2) = (y)/(5)` .......... (1) and we have to find the equivalent expression for above expression from options.

Now, the expression can be rearranged as

`((x + 2))/(2) = (y)/(5)`

⇒
`((x)/(2) + 1) = (y)/(5)`

⇒
`(x)/(2) = (y)/(5) - 1`

⇒
`(x)/(2) = ((y - 5))/(5)`

Therefore, this
`(x)/(2) = ((y - 5))/(5)` will be true for the expression (1). (Answer)