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03-01-2021
Mathematics

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If (x + yi) + (4(x + yi) + 6i) = 10, what is x + yi?

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03-01-2021

Answer: (10 - 6i)/5

(x + yi) + (4(x + yi) + 6i) = 10

⇔ 5(x + yi) + 6i = 10

⇔ 5(x + yi) = 10 - 6i

⇔ x + yi = (10 - 6i)/5

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