What is the answer to 4+(x+2y)i=x+2i ?

The answer to 4+(x+2y)i=x+2i is x=4,y=-1

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4+(x+2y)i=x+2i

4 + (x + 2 y) i = x + 2 i

x = 4, y = - 1

Solution steps

4 + (x + 2 y) i = x + 2 i

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

[4 = x x + 2 y = 2]

[4 = x x + 2 y = 2] : x = 4, y = - 1

x = 4, y = - 1

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

\frac{2 + i}{z} = \frac{2 + 2 i}{z + 1}

5 x - 5 i = 4 + 7

(z + 1)^{2} = 3 + 4 i

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