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Explanation:

From the first equation: 16x ∙ 256y = 64 ⇒ 42x ∙ 44y = 43
Comparing powers: 2x + 4y = 3       .....(A)

From second equation: 32x + y = 32
Comparing powers: 2x + y = 2        ......(B)

Solving A and B, we get option C as answer

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