Final answer:
Comparing two systems for equivalence depends on whether the operations applied to one system maintain the solution set. In general, multiplying by a constant may result in an equivalent system, while just adding or subtracting a constant to all terms usually does not unless specified conditions are met in algebraic contexts. Without the specifics of Systems A and B, we cannot ascertain the correct answer.
Step-by-step explanation:
To determine whether System B is obtained from System A and if they are equivalent, we would need the specifics of Systems A and B. Nonetheless, based on the provided information and common mathematical operations, here's a general explanation:
Option A suggests that multiplying System A by a factor of 2 will give us System B. If System A is an equation or a set of equations, multiplying by 2 would alter all its terms, potentially giving a proportional system, which would be equivalent.
Option B describes adding 5 to System A to get System B. This could imply adding 5 to each term, which would typically not result in an equivalent system unless specific conditions are met in the context of the question.
Option C talks about subtracting 4 from System A to obtain System B. Similar to Option B, subtracting a constant from each term would not necessarily lead to an equivalent system without knowing further details.
Option D simply states that Systems A and B are not equivalent with no further action described.
Without further information about Systems A and B, we can't confidently choose the correct answer. The concept of equivalence in systems generally means that all solutions of one system are also solutions to the other. In mathematics, particularly algebra, a system of equations can often be transformed into an equivalent one by applying certain operations such as multiplication by a non-zero factor, but not by simply adding or subtracting a constant unless it's part of a specific solving process.