contestada

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

Respuesta :

Assuming that you mean

[tex]\dfrac{x+y}{y}[/tex]

if we let [tex]y=4[/tex], the expression becomes

[tex]\dfrac{x+4}{4}[/tex]

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.

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