What is the answer to (x+yi)+4(1-i)=5-7i ?

The answer to (x+yi)+4(1-i)=5-7i is x=1,y=-3

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(x+yi)+4(1-i)=5-7i

(x + y i) + 4 (1 - i) = 5 - 7 i

x = 1, y = - 3

Solution steps

(x + y i) + 4 (1 - i) = 5 - 7 i

Rewrite

(x + y i) + 4 (1 - i)

in standard complex form:

(x + 4) + (y - 4) i

(x + 4) + (y - 4) i = 5 - 7 i

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

[x + 4 = 5 y - 4 = - 7]

[x + 4 = 5 y - 4 = - 7] : x = 1, y = - 3

x = 1, y = - 3

z^{2} - (5 + 4 i) z + (3 - 5 i) = 0

x^{2} + 3 x + 2 - i = 0

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

- 8.4 x i - 3.15 = - x^{2}

i x = x^{2} - 2 x + 2

What is the answer to (x+yi)+4(1-i)=5-7i ?
The answer to (x+yi)+4(1-i)=5-7i is x=1,y=-3