Final answer:
Option A is not equivalent to the given expression -3x - 1/2 + 4y because it simplifies to x - 1/2 + 6y, which contains a positive x term instead of the original -3x.
Step-by-step explanation:
The given expression is -3x - ½ + 4y.
We need to determine which of the provided options is not equivalent to the given expression.
- A. -2x - ½ + 6y + 3x
- B. -3x - ¾ + 4y + ¼
- C. -3y - ¾ + 7y + ¼ - 3x
Let's simplify each option separately.
A: (-2x + 3x) - ½ + 6y = x - ½ + 6y which is not equivalent because it has a positive x term instead of -3x.
B: (-3x) - (¾ - ¼) + 4y = -3x - ½ + 4y which is equivalent to the given expression.
C: (-3y + 7y) - (¾ - ¼) - 3x = 4y - ½ - 3x; order doesn't matter in addition, so it is equal to -3x - ½ + 4y, which is equivalent to the given expression.
Therefore, Option A is the one that is not equivalent to the given expression.