Need help with this data sufficiency problem

[targetthegmat]

If x and y are integers, what is the ratio of 2x to y?
8x3 = 27y3 (read x cube, y cube)
4x2 = 9y2 (read x square, y square)

[vijayrr007]

I think the answer is A. we get 2x=3y from 1 which means the ratio is 3:1. for 2 since its a square we are not sure whether its positive or negative. it can be 2x=3y or -2x=3y.

If x and y are integers, what is the ratio of 2x to y?
8x3 = 27y3 (read x cube, y cube)
4x2 = 9y2 (read x square, y square)

[pemdas]

If x and y are integers, what is the ratio of 2x to y?
8x3 = 27y3 (read x cube, y cube)
4x2 = 9y2 (read x square, y square)

2x/y?
st(1) 8x^3=27y^3 implies (2x)^3=(3y)^3 or 2x=3y which is Sufficient to answer 2x/y, as 2x/3y=1 and 3*(2x/3y)=3

st(2) 4x^2=9y^2 implies (2x)^2=(3y)^2 or |2x|=|3y| Not Sufficient

a

[Anurag@Gurome]

If x and y are integers, what is the ratio of 2x to y?
8x3 = 27y3 (read x cube, y cube)
4x2 = 9y2 (read x square, y square)

(1) 8x^3 = 27y^3
(2x)^3 = (3y)^3
Taking cube root on both sides,
2x = 3y
2x : y = 3 : 1; SUFFICIENT.

(2) 4x² = 9y²
Taking square root on both sides,
±2x = 3y; NOT sufficient.

The correct answer is A.

[spideygirl]

Hi, I have a question. I had picked (E) because I took the scenario of x and y being set to 0. Is it incorrect to use 0 as a value to plug in for x and y? Can we not take zero for both because x and y are two different variables?