"For any two real numbers x and y, x+y=y+x" is one of the condition in what binary operation?

The statement "For any two real numbers $x$ and $y$, $x+y=y+x$" describes the property of commutativity in the binary operation of addition.

Explanation

1. Commutativity: This property means that the order in which you add two numbers does not affect the sum. In mathematical language, this is expressed as: $x + y = y + x$ for all real numbers $x$ and $y$.

2. Binary Operation: In mathematics, a binary operation is an operation that combines two elements (operands) to produce another element. Addition is a classic example, where two numbers are combined to yield a third number.

Thus, the condition $x+y=y+x$ specifically illustrates that addition is commutative.