What is the answer to x+i(4x-y)=2+3i ?

The answer to x+i(4x-y)=2+3i is x=2,y=5

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

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

x = 2, y = 5

Solution steps

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

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

[x = 2 4 x - y = 3]

[x = 2 4 x - y = 3] : x = 2, y = 5

x = 2, y = 5

z^{2} = 2 + 2 i 3

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

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

x (1 + 3 i) + y (2 - i) - 5 + i^{3} = 0

z_{1} + i z_{2} = 1