What is the answer to 2(x+yi)=i(3-4i) ?

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

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

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

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

Solution steps

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

Expand

2 x + 2 i y = 4 + 3 i

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

[2 x = 4 2 y = 3]

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

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

(1 - i) z + w = 3 + 2 i

z^{2} - (3 - 4 i) z - (1 + 7 i) = 0

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

i = \frac{e}{r}

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

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