What is the answer to -9x+8i=-54+(16y)i ?

The answer to -9x+8i=-54+(16y)i is x=6,y= 1/2

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-9x+8i=-54+(16y)i

- 9 x + 8 i = - 54 + (16 y) i

x = 6, y = \frac{1}{2}

Solution steps

- 9 x + 8 i = - 54 + (16 y) i

Rewrite

- 54 + (16 y) i

in standard complex form:

- 54 + 16 y i

- 9 x + 8 i = - 54 + 16 y i

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

[- 9 x = - 54 8 = 16 y]

[- 9 x = - 54 8 = 16 y] : x = 6, y = \frac{1}{2}

x = 6, y = \frac{1}{2}

x^{2} - (2 - 4 i) x - (3 + 6 i) = 0

y - 8 = 3 (x + 1) in

x, R s i R (x) = 8 - 2 x + x^{2}

3 x - 200 s i \cdot = - 10

i (x) = - x^{2} + 60 x

What is the answer to -9x+8i=-54+(16y)i ?
The answer to -9x+8i=-54+(16y)i is x=6,y= 1/2