What is the answer to 5i-6x=(10y)i+2 ?

The answer to 5i-6x=(10y)i+2 is x=-1/3 ,y= 1/2

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5i-6x=(10y)i+2

5 i - 6 x = (10 y) i + 2

x = - \frac{1}{3}, y = \frac{1}{2}

Solution steps

5 i - 6 x = (10 y) i + 2

Rewrite

5 i - 6 x

in standard complex form:

- 6 x + 5 i

- 6 x + 5 i = (10 y) i + 2

Rewrite

(10 y) i + 2

in standard complex form:

2 + 10 y i

- 6 x + 5 i = 2 + 10 y i

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

[- 6 x = 2 5 = 10 y]

[- 6 x = 2 5 = 10 y] : x = - \frac{1}{3}, y = \frac{1}{2}

x = - \frac{1}{3}, y = \frac{1}{2}

x^{2} - 7 x + 9 y i = y^{2} i + 20 i - 12

18 i + 3 x = (9 y) i

25 x^{2} + b = (5 x + 8 i) (5 x - 8 i)

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

z^{2} - (5 - 2 i) z + (3 - 15 i) = 0

What is the answer to 5i-6x=(10y)i+2 ?
The answer to 5i-6x=(10y)i+2 is x=-1/3 ,y= 1/2