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If 4x + i(3x − y) = 3 − 6i with x and y real, find x and y.

Ax = 3/4, y = 33/4
Bx = 4/3, y = 33/4
Cx = 3/4, y = 9/4
Dx = 3/4, y = −15/4
Answer & Solution
Correct answer: A. x = 3/4, y = 33/4
Equating parts gives 4x = 3, so x = 3/4, and 3x − y = −6, so y = 9/4 + 6 = 33/4.
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