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

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

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x+yi=3i-ix

x + y i = 3 i - i x

x = 0, y = 3

Solution steps

x + y i = 3 i - i x

Rewrite

3 i - i x

in standard complex form:

0 + (3 - x) i

x + y i = 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

(x + 2 y i) + (y - 2 x i) - 2 i = 11

z^{2} - (1 - 4 i) z = 0

s i y = 5 y + 2.1

x^{2} + 6 x + 10 = i

5 x - 3 y i = 10 + 12 i