Question

If (x,y)=(y-x), then x-y=0. is it true ​

Answer 1

Answer:

no

Step-by-step explanation:

10= y

5 = x

10-5 = 5

5-10= -5

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Answer 2

(x,y)=(y-x), then x-y=0. is any non-zero number, then (x, 2x) satisfies the equation (x,y) = (y-x), but x - y does not necessarily equal 0.

No, it is not necessarily true that x - y = 0 if (x,y) = (y-x).

If we substitute y - x for y in the equation (x, y) = (y - x), we get (x, y-x).

Then, we can solve for x and y by adding x to both sides of the equation:

(x, y - x) = (y - x, x)

x = y - x

2x = y

The result of changing y in the original equation by 2x is:

(x, y) = (y - x, x)

(x, 2x) = (2x - x, x)

(x, 2x) = (x, x)

So we see that if x is any non-zero number, then (x, 2x) satisfies the equation (x,y) = (y-x), but x - y does not necessarily equal 0.

For example, if x = 1, then (x, 2x) = (1, 2) satisfies the equation (x,y) = (y-x), but x - y = 1 - 2 = -1.

For such more questions on equation,

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