What is the answer to -2x+6i=(-24y)i-14 ?

The answer to -2x+6i=(-24y)i-14 is x=7,y=-1/4

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-2x+6i=(-24y)i-14

- 2 x + 6 i = (- 24 y) i - 14

x = 7, y = - \frac{1}{4}

Solution steps

- 2 x + 6 i = (- 24 y) i - 14

Rewrite

(- 24 y) i - 14

in standard complex form:

- 14 - 24 y i

- 2 x + 6 i = - 14 - 24 y i

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

[- 2 x = - 14 6 = - 24 y]

[- 2 x = - 14 6 = - 24 y] : x = 7, y = - \frac{1}{4}

x = 7, y = - \frac{1}{4}

∣ z - 4 i ∣ = 4

z (z + 1) = 5 + 5 i

2 z^{2} - 2 i z - 1 = 0

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

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

What is the answer to -2x+6i=(-24y)i-14 ?
The answer to -2x+6i=(-24y)i-14 is x=7,y=-1/4