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

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

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x-yi=-2+3i

x - y i = - 2 + 3 i

x = - 2, y = - 3

Solution steps

x - y i = - 2 + 3 i

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

[x = - 2 - y = 3]

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

x = - 2, y = - 3

\frac{1}{2 - i} = a + ib

(x + y i) (2 - 3 i) = 4 + i

(3 + 2 i) (2 - 3 i) - (1 + 2 i) (2 - i) = m + ni

∣ z - 5 - 6 i ∣ = 4

a (2 - i) + b (3 + i) = 10