Are the following two expressions always equal or not? Explain your reasoning. 2x + 2 = 6 and x + 1 = 3.

1 answer

Yes, the two expressions are always equal.

In the first expression, 2x + 2 = 6, we can solve for x by subtracting 2 from both sides of the equation:
2x = 6 - 2
2x = 4
Dividing both sides by 2, we find:
x = 2

Now, let's substitute the value of x we found (x = 2) into the second expression, x + 1 = 3:
2 + 1 = 3

Since both expressions lead to the same result (in this case, 3), we can conclude that the two expressions are equal.