What is the answer to 2(5x+9y)-(9y-16x)i=-11-5i ?

The answer to 2(5x+9y)-(9y-16x)i=-11-5i is x=-1/2 ,y=-1/3

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2(5x+9y)-(9y-16x)i=-11-5i

2 (5 x + 9 y) - (9 y - 16 x) i = - 11 - 5 i

x = - \frac{1}{2}, y = - \frac{1}{3}

Solution steps

2 (5 x + 9 y) - (9 y - 16 x) i = - 11 - 5 i

Rewrite

2 (5 x + 9 y) - (9 y - 16 x) i

in standard complex form:

(10 x + 18 y) + (- 9 y + 16 x) i

(10 x + 18 y) + (- 9 y + 16 x) i = - 11 - 5 i

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

[10 x + 18 y = - 11 - 9 y + 16 x = - 5]

[10 x + 18 y = - 11 - 9 y + 16 x = - 5] : x = - \frac{1}{2}, y = - \frac{1}{3}

x = - \frac{1}{2}, y = - \frac{1}{3}

z^{2} = 2 + 2 i

2 a + bi = - 25 - 2

x^{2} + 2 i x + 1 = 0

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

a + b - 2 abi = 5 - 12 i

What is the answer to 2(5x+9y)-(9y-16x)i=-11-5i ?
The answer to 2(5x+9y)-(9y-16x)i=-11-5i is x=-1/2 ,y=-1/3