What is the answer to 2-3i=2x+yi ?

The answer to 2-3i=2x+yi is x=1,y=-3

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2-3i=2x+yi

2 - 3 i = 2 x + y i

x = 1, y = - 3

Solution steps

2 - 3 i = 2 x + y i

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

[2 = 2 x - 3 = y]

[2 = 2 x - 3 = y] : x = 1, y = - 3

x = 1, y = - 3

z^{2} - (5 + 6 i) z - 3 + 15 i = 0

∣ z + 2 i ∣ = 1

3 z + w = 9 + 11 i

3 - 2 i = \frac{5 x - i}{x + y i}

(2 - i) z + 8 z^{2} = 0