What is the answer to 5x+(7x-2y)i=2+8i ?

The answer to 5x+(7x-2y)i=2+8i is x= 2/5 ,y=-13/5

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5x+(7x-2y)i=2+8i

5 x + (7 x - 2 y) i = 2 + 8 i

x = \frac{2}{5}, y = - \frac{13}{5}

Solution steps

5 x + (7 x - 2 y) i = 2 + 8 i

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

[5 x = 2 7 x - 2 y = 8]

[5 x = 2 7 x - 2 y = 8] : x = \frac{2}{5}, y = - \frac{13}{5}

x = \frac{2}{5}, y = - \frac{13}{5}

(3 + 4 i) (u + v i) = 5 - i

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

z^{2} = (1 + i 3)^{3}

z^{2} - z (1 + 4 i) + 3 + 11 i = 0

x^{2} - 6 i^{2} = 0

What is the answer to 5x+(7x-2y)i=2+8i ?
The answer to 5x+(7x-2y)i=2+8i is x= 2/5 ,y=-13/5