What is the answer to (x+3)-3i=(5+3yi)/2 ?

The answer to (x+3)-3i=(5+3yi)/2 is x=-1/2 ,y=-2

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(x+3)-3i=(5+3yi)/2

(x + 3) - 3 i = \frac{5 + 3 y i}{2}

x = - \frac{1}{2}, y = - 2

Solution steps

(x + 3) - 3 i = \frac{5 + 3 y i}{2}

Multiply both sides by

2

(x + 3) \cdot 2 - 3 i 2 = \frac{5 + 3 y i}{2} \cdot 2

Expand

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

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

[2 x + 6 = 5 - 6 = 3 y]

[2 x + 6 = 5 - 6 = 3 y] : x = - \frac{1}{2}, y = - 2

x = - \frac{1}{2}, y = - 2

z + z ba r = 5 i + 6

a + 2 bi + 3 = 5 - 4 i

\frac{z ^{2} - i}{z - 2} = 2

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

(1 + i) x + (- 2 + i) y = - 3 + 16 i

What is the answer to (x+3)-3i=(5+3yi)/2 ?
The answer to (x+3)-3i=(5+3yi)/2 is x=-1/2 ,y=-2