What is the answer to x+yi=(1-i)(2+8i) ?

The answer to x+yi=(1-i)(2+8i) is x=10,y=6

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x+yi=(1-i)(2+8i)

x + y i = (1 - i) (2 + 8 i)

x = 10, y = 6

Solution steps

x + y i = (1 - i) (2 + 8 i)

Simplify

(1 - i) (2 + 8 i) : 10 + 6 i

x + y i = 10 + 6 i

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

[x = 10 y = 6]

[x = 10 y = 6] : x = 10, y = 6

x = 10, y = 6

2 (a + ib) + (3 + i) (a - ib) = 4 - i

1 = ai + b

(1 + 2 i) a + (3 - 5 i) b = 1 - 3 i

7 x + x i - 3 y i = 3 y + 9

(x + y i) (2 - 4 i) = 14 - 18 i

What is the answer to x+yi=(1-i)(2+8i) ?
The answer to x+yi=(1-i)(2+8i) is x=10,y=6