DS: is x=1?

[youenr]

If x and y are greater than 0, is x=1?
1- x/y=1
2- xy=1

I thought B was enough but apparently the answer is C !?
Can someone help on this one?
Thanks

[stud.jatt]

Statement 2 is in no way sufficient. It states that xy = 1, take the case when x = 5 , y = 1/5, we have xy = 1

I think you erred here as you made the wrong assumption that x and y are integers and hence deduced that the only way x*y could equal 1 was if both x and y are equal to 1.

If x and y are greater than 0, is x=1?
1- x/y=1
2- xy=1

I thought B was enough but apparently the answer is C !?
Can someone help on this one?
Thanks

[jnelson0612]

Yes, I believe that stud.jatt is correct. Beware of assuming that x and y are integers; they only must be greater than 0. Let us know if you need more help.

[youenr]

Thank you for your help. I got it now.

[RonPurewal]

awesome

[cfroehlich14]

Couldn't x and y both be the square root of 1?

therefore two possible answers work when you combine both statements, 1 and sqrt 1?

Or are those considered to be the same thing

[RonPurewal]

√1 is equal to 1.

(in other situations we might have to think about the fact that there are two different numbers that can be squared to give 1—namely, ±1—but, that's not an issue here since we're restricted to positive numbers.)