What is the answer to 7x-6i=14+yi ?

The answer to 7x-6i=14+yi is x=2,y=-6

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7x-6i=14+yi

7 x - 6 i = 14 + y i

x = 2, y = - 6

Solution steps

7 x - 6 i = 14 + y i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[7 x = 14 - 6 = y]

[7 x = 14 - 6 = y] : x = 2, y = - 6

x = 2, y = - 6

∣ z + 6 + 3 i ∣ = 32

(2 x + 3 i y) (i + 3)^{3} = 2 (i + 3)

x - y i = 3

3 x - i y = - i + 1

z^{2} + z - 2 = z^{2} + z i + 2