What is the answer to 7-4yi=9x+3i ?

The answer to 7-4yi=9x+3i is x= 7/9 ,y=-3/4

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7-4yi=9x+3i

7 - 4 y i = 9 x + 3 i

x = \frac{7}{9}, y = - \frac{3}{4}

Solution steps

7 - 4 y i = 9 x + 3 i

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

[7 = 9 x - 4 y = 3]

[7 = 9 x - 4 y = 3] : x = \frac{7}{9}, y = - \frac{3}{4}

x = \frac{7}{9}, y = - \frac{3}{4}

t, \frac{L d i}{d t} + R i = E

15 - 3 y i = \frac{1}{2} x + 2 i

(9 x + 8 y) + i (12 x - 6 y) = 10 + 10 i

z^{2} = - 1 + 3 i

(x + 2 y) i + 2 x = 2 + 3 i