Question

Determine whether the statement below is always sometimes or never true:

the expressions x-3 and y-3 represent the same value

Answer 1

Sometimes true. It may be true at times if x or y equal each other, but if they do not equal each other it is not true. Hope this helps!

Answer 2

sometimes

Explanation:

We are given two expressions: x -3 and y - 3

Here x and y are two different variables.

These expressions are equal, when the value of x and the value of y are equal.

x - 3 = y -3 if x = y.

Therefore, the two expressions have the same value in sometimes.

That is, when x = y, then the value of two expressions are the same.

Example.

If x = 2 and y = 2, then

x - 3 = y - 3

2 - 3 = 2 - 3

-1 = -1

If they have different values, for x = 2 and y = 3

x - 3 = y - 3

2 - 3 = 3 -3

-1 = 0

Which is not true.

Therefore, the answer is sometimes.