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If y ≠ 3 and 3x/y is a prime integer greater than 2, which of the following must be true? - This is the question.
I am sorry above the 3x/y missing earlier.

a) x=y might not be true because, for 3x/y, we have x=5/3 and y=1
b) y=1 might not be true as y=5 and x=5 satisfy the equation.
c) X and Y are primes integers: Again might not be true, consider x=5/3 and y=5/7. (please note that in the initial question no where it is mentioned that x and y needs to be integer.)

Because: From looking at the equation 3x/y (resulting in a prime greater than 2), we can tell that the answer can't be a multiple of 3 (a prime greater than 2). So if (b) were true, the answer would be 3x; if (c) were true then we don't know what prime we're considering so we may end up getting a decimal number. (a) is the only choice that gives us 3 for the answer.

a) x=y might not be true because, for 3x/y, we have x=5/3 and y=1 b) y=1 might not be true as y=5 and x=5 satisfy the equation. c) X and Y are primes integers: Again might not be true, consider x=5/3 and y=5/7. (please note that in the initial question no where it is mentioned that x and y needs to be integer.)