What is the answer to (x+iy)/(x-iy)=-i ?

The answer to (x+iy)/(x-iy)=-i is No Solution

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(x+iy)/(x-iy)=-i

\frac{x + i y}{x - i y} = - i

No Solution

Solution steps

\frac{x + i y}{x - i y} = - i

Multiply both sides by

x - i y

\frac{x + i y}{x - i y} (x - i y) = - i (x - i y)

Simplify

x + i y = - y - i x

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

[x = - y y = - x]

[x = - y y = - x] : No Solution

No Solution

(a + i) (b - 3 i) = 7 - 11 i

2 (x + y i) = i (3 - 4 i)

(1 - i) z + w = 3 + 2 i

z^{2} - (3 - 4 i) z - (1 + 7 i) = 0

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

What is the answer to (x+iy)/(x-iy)=-i ?
The answer to (x+iy)/(x-iy)=-i is No Solution