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X + Yi = 3Y - 2Xi + 4i
Find X and Y

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Answer: We can rewrite the given equation as X + Yi = -2Xi + 3Y + 4i Now, we can separate the real and imaginary parts of the equation. The real part is: X = -2Xi + 3Y And the imaginary part is: Y = 4 We can substitute the value of Y in the real part equation and solve for X: X = -2Xi + 3(4) X = -2Xi + 12 2Xi + X = 12 X(2i + 1) = 12 X = 12 / (2i + 1) Therefore, the solution is: X = 3 - 2i and Y = 4.

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