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12 April, 21:29

Find the values of x and y in the following equation.

(x+yi) + (4+9i) = 9-4i

A. x = - 9 and y = 4

B. x = 5 and y = - 13

C. x = 5 and y = 13

D. x = 9 and y = - 4

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Answers (1)
  1. 12 April, 21:35
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    B. x = 5 and y = - 13

    Step-by-step explanation:

    Subtract the constant on the left:

    ... (x + yi) = (9 - 4i) - (4 + 9i)

    ... = (9 - 4 + i (-4-9))

    ... = 5 - 13i

    Matching real and imaginary parts, we see that ...

    ... x = 5, y = - 13
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