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

The answer to 3x-2yi=2+(x+y)i is x= 2/3 ,y=-2/9

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

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

x = \frac{2}{3}, y = - \frac{2}{9}

Solution steps

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

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

[3 x = 2 - 2 y = x + y]

[3 x = 2 - 2 y = x + y] : x = \frac{2}{3}, y = - \frac{2}{9}

x = \frac{2}{3}, y = - \frac{2}{9}

i = \frac{e}{r}

(3 x - 4 y) + (6 x + 2 y) i = 5 i

z^{2} = 1 - 3 i

(1 + 3 i)^{11} = a + ib

∣ z - i ∣ = 5

What is the answer to 3x-2yi=2+(x+y)i ?
The answer to 3x-2yi=2+(x+y)i is x= 2/3 ,y=-2/9