What is the answer to 5+(x+3y)i=x+2i ?

The answer to 5+(x+3y)i=x+2i is x=5,y=-1

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5+(x+3y)i=x+2i

5 + (x + 3 y) i = x + 2 i

x = 5, y = - 1

Solution steps

5 + (x + 3 y) i = x + 2 i

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

[5 = x x + 3 y = 2]

[5 = x x + 3 y = 2] : x = 5, y = - 1

x = 5, y = - 1

4 + 3 i = x + y i

∣ 2 i + 6 j + k (2 i - 4 j) ∣ = 5

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

M = C (1 + t i)

i (t) = 3 t^{2} - t