What is the answer to (x-yi)+(y+xi)=(5+i) ?

The answer to (x-yi)+(y+xi)=(5+i) is x=3,y=2

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(x-yi)+(y+xi)=(5+i)

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

x = 3, y = 2

Solution steps

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

Rewrite

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

in standard complex form:

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

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

Rewrite

(5 + i)

in standard complex form:

5 + i

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

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

[x + y = 5 - y + x = 1]

[x + y = 5 - y + x = 1] : x = 3, y = 2

x = 3, y = 2

x, g (3 - i) = x^{2} - 6 x

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

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

2 i x^{2} + 2 x + 9 i = 0

s i f (x) = \frac{1}{x} f (x)

What is the answer to (x-yi)+(y+xi)=(5+i) ?
The answer to (x-yi)+(y+xi)=(5+i) is x=3,y=2