Answer:
d = 0
Explanation:
Let's evaluate both approaches to solving the equation and determine if they lead to the same solution.
The given equation is:
7.5d = 2.5d
Approach 1 - Lin divides each side by 2.5d:
Lin divides both sides of the equation by 2.5d:
(7.5d) / (2.5d) = (2.5d) / (2.5d)
This simplifies to:
3 = 1
Approach 2 - Elena subtracts 2.5d from each side:
Elena subtracts 2.5d from both sides of the equation:
7.5d - 2.5d = 2.5d - 2.5d
This simplifies to:
5d = 0
Now, let's evaluate both results:
In Approach 1, we obtained the equation 3 = 1, which is not a true statement. It implies that Lin's approach is incorrect, and the result does not lead to a valid solution.
In Approach 2, we obtained the equation 5d = 0, which is a valid equation. This equation simplifies to d = 0. This is a valid solution, indicating that Elena's approach is correct, and it leads to a solution.
So, the correct solution to the equation is d = 0, and Elena's approach leads to this solution, while Lin's approach does not.