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If 3x + i(y − 2) = 12 + 5i for real x and y, what are x and y?

Ax = 7, y = 4
Bx = 4, y = 7
Cx = 4, y = 3
Dx = 12, y = 7
Answer & Solution
Correct answer: B. x = 4, y = 7
Equal complex numbers have equal real and imaginary parts, so 3x = 12 gives x = 4 and y − 2 = 5 gives y = 7.
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