What is the answer to (x+y)+(x-y)i=3+i ?

The answer to (x+y)+(x-y)i=3+i is x=2,y=1

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

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

x = 2, y = 1

Solution steps

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

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

[x + y = 3 x - y = 1]

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

x = 2, y = 1

\frac{26 + 28 i}{2 + i} = a + bi

a + bi = 9 + 8 i

2 i x + 3 = y - i

2 + 3 i = x + y i

(x + y i)^{2} - 3 i (x + y i) + 5 i = 0

What is the answer to (x+y)+(x-y)i=3+i ?
The answer to (x+y)+(x-y)i=3+i is x=2,y=1