Question

If y is the additive inverse of x then x-y = 0​ explanations

Answer 1

Answer:

hope this helps you ♥ please mark as brainliest

#rashi

Step-by-step explanation:

The notation + is usually reserved for commutative binary operations; i.e., such that x + y = y + x, for all x, y. If such an operation admits an identity element o (such that x + o ( = o + x ) = x for all x), then this element is unique ( o′ = o′ + o = o ). For a given x , if there exists x′ such that x + x′ ( = x′ + x ) = o , then x′ is called an additive inverse of x.

If + is associative (( x + y ) + z = x + ( y + z ) for all x, y, z), then an additive inverse is unique. To see this, let x′ and x″ each be additive inverses of x; then

x′ = x′ + o = x′ + (x + x″) = (x′ + x) + x″ = o + x″ = x″.

For example, since addition of real numbers is associative, each real number has a unique additive inverse.

a − b  =  a + (−b).

Conversely, additive inverse can be thought of as subtraction from zero:

−a  =  0 − a.

Other properties Edit

In addition to the identities listed above, negation has the following algebraic properties:

−(−a) = a, it is an Involution operation

−(a + b) = (−a) + (−b)

a − (−b) = a + b

(−a) × b = a × (−b) = −(a × b)

(−a) × (−b) = a × b

notably, (−a)2 = a2

Answer 2

Answer:

y -x = x in this condition

Step-by-step explanation:

So the answer is x