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If 4x + i(3x-y) = 3 + i (-6), where x an...

If `4x + i(3x-y) = 3 + i (-6)`, where x and y are real numbers, then findthe values of x and y.

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To solve the equation \(4x + i(3x - y) = 3 + i(-6)\) where \(x\) and \(y\) are real numbers, we will equate the real and imaginary parts of the complex numbers. ### Step 1: Identify the real and imaginary parts The left-hand side of the equation is \(4x + i(3x - y)\) and the right-hand side is \(3 + i(-6)\). - Real part of the left-hand side: \(4x\) - Imaginary part of the left-hand side: \(3x - y\) - Real part of the right-hand side: \(3\) ...
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