63.4k views
1 vote
Determine whether the statement below is always sometimes or never true:

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

2 Answers

3 votes
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!
User CrabMan
by
7.8k points
2 votes

Answer:

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.

User Hanetzer
by
6.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.