What is the answer to -5x+3iy=10-9i ?

The answer to -5x+3iy=10-9i is x=-2,y=-3

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-5x+3iy=10-9i

- 5 x + 3 i y = 10 - 9 i

x = - 2, y = - 3

Solution steps

- 5 x + 3 i y = 10 - 9 i

Rewrite

- 5 x + 3 i y

in standard complex form:

- 5 x + 3 y i

- 5 x + 3 y i = 10 - 9 i

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

[- 5 x = 10 3 y = - 9]

[- 5 x = 10 3 y = - 9] : x = - 2, y = - 3

x = - 2, y = - 3

z^{2} - (3 + 6 i) z - (9 - i) = 0

(x - 5 + 2 i) (x + 5 + 2 i) = x^{2} + 20 i + 4

s i f (x) = x^{2} - 1, g (x) = x^{2} + x

∣ Z + 5 i ∣ = i Z

(2 a + 1) + (2 b + 3) i = 5 + 12 i