But it's obvious!

Algebra Level 2

− x = y \LARGE{-x = y}

For ∣ x ∣ = ∣ y ∣ {|x| = |y|} , where x and y are integers, which of them is negative?

x Cannot be determined y

Bruno Oggioni Moura by Bruno Oggioni Moura , 21, Brazil

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1 solution

Let y be the negative one. If we multiply both sides of the equation by -1, we get

x = − y {x = -y} and then x = − ( − y ) {x = -(-y)} , which is a positive value for x.

However, if we consider x as the negative one, the process above can be repeated equally and we will find a positive value for y. Hence, it can't be determined which of them is the negative one, because both can be.

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