What is the answer to 6+(x+3y)i=x+3i ?

The answer to 6+(x+3y)i=x+3i is x=6,y=-1

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

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

x = 6, y = - 1

Solution steps

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

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

[6 = x x + 3 y = 3]

[6 = x x + 3 y = 3] : x = 6, y = - 1

x = 6, y = - 1

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

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

x^{2} = - 2 - 23 i

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

z^{2} + 2 i z - 1 = 0