What is the answer to 15-3yi=12x+2i ?

The answer to 15-3yi=12x+2i is x= 5/4 ,y=-2/3

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15-3yi=12x+2i

15 - 3 y i = 12 x + 2 i

x = \frac{5}{4}, y = - \frac{2}{3}

Solution steps

15 - 3 y i = 12 x + 2 i

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

[15 = 12 x - 3 y = 2]

[15 = 12 x - 3 y = 2] : x = \frac{5}{4}, y = - \frac{2}{3}

x = \frac{5}{4}, y = - \frac{2}{3}

(x + y i)^{2} = - 9 - 40 i

\frac{x ^{2}}{2 i} - 2 = 0

(x - y i)^{2} = - 8 - 6

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

a + bi - 5 = i (10 + 4 (a + bi))

What is the answer to 15-3yi=12x+2i ?
The answer to 15-3yi=12x+2i is x= 5/4 ,y=-2/3