What is the answer to 3x+8i=12-(12y)i ?

The answer to 3x+8i=12-(12y)i is x=4,y=-2/3

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3x+8i=12-(12y)i

3 x + 8 i = 12 - (12 y) i

x = 4, y = - \frac{2}{3}

Solution steps

3 x + 8 i = 12 - (12 y) i

Rewrite

12 - (12 y) i

in standard complex form:

12 - 12 y i

3 x + 8 i = 12 - 12 y i

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

[3 x = 12 8 = - 12 y]

[3 x = 12 8 = - 12 y] : x = 4, y = - \frac{2}{3}

x = 4, y = - \frac{2}{3}

3 x + 8 i = 12 - (16 y) i

\frac{3 + ai}{5 + bi} = 1 + 6 i

- 2 x + 6 i = (- 24 y) i - 14

∣ z - 4 i ∣ = 4

z (z + 1) = 5 + 5 i

What is the answer to 3x+8i=12-(12y)i ?
The answer to 3x+8i=12-(12y)i is x=4,y=-2/3