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Find x and y if (x+ iy) (2 - 3i) = 4 + i

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Find x and y if (x+ iy) (2 - 3i) = 4 + i

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Given, (x + iy) (2 − 3i) = 4 + i 

⟹ (2x + 3y) + i(−3x + 2y) = 4 + i

⟹ 2x + 3y = 4 and − 3x + 2y = 1 

On solving, we get,

x = \(\frac{5}{13}\) and y = \(\frac{14}{13}\)

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