What is the answer to x+yi=3i-4+2-6i+1/2 i ?

The answer to x+yi=3i-4+2-6i+1/2 i is x=-2,y=-5/2

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x+yi=3i-4+2-6i+1/2 i

x + y i = 3 i - 4 + 2 - 6 i + \frac{1}{2} i

x = - 2, y = - \frac{5}{2}

Solution steps

x + y i = 3 i - 4 + 2 - 6 i + \frac{1}{2} i

Rewrite

3 i - 4 + 2 - 6 i + \frac{1}{2} i

in standard complex form:

- 2 - \frac{5}{2} i

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

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

[x = - 2 y = - \frac{5}{2}]

[x = - 2 y = - \frac{5}{2}] : x = - 2, y = - \frac{5}{2}

x = - 2, y = - \frac{5}{2}

x (2 - 4 i) - 5 = x - (7 + y i)

l, y = \frac{x}{l in x}

(1 - 2 + 7 i) (x) - 2 y = 0

- 0.0086 i = \frac{1}{x \cdot i}

m^{2} + n + 4 i = - 3 - m^{2} ni

What is the answer to x+yi=3i-4+2-6i+1/2 i ?
The answer to x+yi=3i-4+2-6i+1/2 i is x=-2,y=-5/2