If x and y are integers, and 3x + 2y = 13, which of the following could be the value of y?

A. 0

B. 1

C. 2

D. 3

E. 4

They are all integers so ...

first lets substitute

A. 3x=13

X=13/3

b. 3x+2=13

3x=11

x=11/3

c. 3x+4=13

3x=9

x=3

d. 3x+6=13

3x=7

x=7/3

E. 3x+8=13

3x=5

x=5/3

therefore the possible is letter c because it must be an integer and the definition of integer states that it is not a decimal nor a fraction

C. 2

Because

3x+2 (2) = 13

3x+4=13

3x=9

x=3

None of the other solutions work out so that both x and y are integers.