Final answer:
None of the provided options (A, B, C, D) is equivalent to the equation 4x - 3y = 157, as they do not reflect the relationship between x and y, or introduce a variable not present in the given equation.
Step-by-step explanation:
To find which of the provided options is equivalent to 4x - 3y = 157, we must analyze each one and see if it can be derived from the given equation:
- Oy suggests that the equation has no y-term, which cannot be derived from the given equation.
- y = ±5 is a specific solution for y, which does not provide a relationship between x and y like the given equation.
- Oy = +15 is equivalent to 0 = 15, which does not relate to the given equation.
- Oy = z − 5 introduces a new variable z, which is not present in the given equation.
Therefore, none of the given options (A, B, C, D) are equivalent to the equation 4x - 3y = 157.