What is the answer to x-iy=(7-i^9)/(1-i) ?

The answer to x-iy=(7-i^9)/(1-i) is x=4,y=-3

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x-iy=(7-i^9)/(1-i)

x - i y = \frac{7 - i ^{9}}{1 - i}

x = 4, y = - 3

Solution steps

x - i y = \frac{7 - i ^{9}}{1 - i}

Simplify

\frac{7 - i ^{9}}{1 - i} : 4 + 3 i

x - i y = 4 + 3 i

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

[x = 4 - y = 3]

[x = 4 - y = 3] : x = 4, y = - 3

x = 4, y = - 3

i (x + i y) = 2

i (x) = \frac{x ^{2}}{4} + 3450 x

4 x + 4 i y - 23 = 5 i x + 5 i^{2} y + 2 i

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

(x - (3 - 4 i)) (x - (3 + 4 i)) = 0

What is the answer to x-iy=(7-i^9)/(1-i) ?
The answer to x-iy=(7-i^9)/(1-i) is x=4,y=-3