Question

the value of x+y/y is an integer when y=4. which of the following is a possible value of x?​

A) -16
B) 2
C) 9
D) 15
E) 26

Answer 1

Assuming that you mean

$\dfrac{x+y}{y}$

if we let $y=4$, the expression becomes

$\dfrac{x+4}{4}$

This is an integer if and only if x+4 is a multiple of 4, which in turn happens if and only if x is itself a multiple of 4.

So, the only good options are the multiple of 4, in your case -16.