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

The answer to x+iy=3i-ix is x=0,y=3

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x+iy=3i-ix

x + i y = 3 i - i x

x = 0, y = 3

Solution steps

x + i y = 3 i - i x

Rewrite

3 i - i x

in standard complex form:

0 + (3 - x) i

x + i y = 0 + (3 - x) i

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

[x = 0 y = 3 - x]

[x = 0 y = 3 - x] : x = 0, y = 3

x = 0, y = 3

(1 + i) z^{2} + 2 i z + (- 5 + 5 i) = 0

7 - 4 y i = 9 x + 3 i

t, \frac{L d i}{d t} + R i = E

15 - 3 y i = \frac{1}{2} x + 2 i

(9 x + 8 y) + i (12 x - 6 y) = 10 + 10 i