What is the answer to x-3i=-3+yi ?

The answer to x-3i=-3+yi is x=-3,y=-3

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x-3i=-3+yi

x - 3 i = - 3 + y i

x = - 3, y = - 3

Solution steps

x - 3 i = - 3 + y i

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

[x = - 3 - 3 = y]

[x = - 3 - 3 = y] : x = - 3, y = - 3

x = - 3, y = - 3

(x + i y) (2 + i) = - i

∣ (1 + i) z - (1 + 3 i) ∣ = 1

Z = 6 e^{\frac{π}{3} i}

∣ z - 3 i ∣ = 2

z + 3 i = z - 3 i