What is the answer to (x-y)+3i=7+yi ?

The answer to (x-y)+3i=7+yi is x=10,y=3

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(x-y)+3i=7+yi

(x - y) + 3 i = 7 + y i

x = 10, y = 3

Solution steps

(x - y) + 3 i = 7 + y i

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

[x - y = 7 3 = y]

[x - y = 7 3 = y] : x = 10, y = 3

x = 10, y = 3

(3 + 3 i) (x + y i) = 27 - 3 i

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

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

a, \frac{1}{a + bi} = c + d i

5 + (x^{2} - 6 x + 9) i = 0