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smc

prealgebra intermediate

Problem

Let a binary operation on ordered pairs of integers be defined by . Then, if and represent identical pairs, equals:
(A)
(B)
(C)
(D)
(E)
Solution
Performing the operation based on the definition, and . Because the outputs are identical pairs, they must equal each other, so . Solving for x yields , which is answer choice .
Final answer
E