Is x = y? (1) |x| + |y| = 0 (2) x^2 + y^2 = 0

Question

Is x = y?

(1)  |x| + |y| = 0 
(2)  x^2 + y^2 = 0

Bunuel · Answer

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Bunuel · Answer

The square of a number as well as an absolute value of a number cannot be negative. Both statements say the same thing: the sum of two non-negative values equals zero. This is only possible if both of them are 0. Thus, each statement give the same solution: x = y = 0.

Answer: D.

MathRevolution · Answer

==> In the original condition, there are 2 variables (x,y) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. However, since con 1)=con2), you get x=y=0, hence yes, it is sufficient.

The answer is D.
Answer: D

The answer is D. 
Answer: D

bumpbot · Answer

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Is x = y? (1) |x| + |y| = 0 (2) x^2 + y^2 = 0

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