What is the answer to 5x+13+(2y-7)i=-2+i ?

The answer to 5x+13+(2y-7)i=-2+i is x=-3,y=4

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5x+13+(2y-7)i=-2+i

5 x + 13 + (2 y - 7) i = - 2 + i

x = - 3, y = 4

Solution steps

5 x + 13 + (2 y - 7) i = - 2 + i

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

[5 x + 13 = - 2 2 y - 7 = 1]

[5 x + 13 = - 2 2 y - 7 = 1] : x = - 3, y = 4

x = - 3, y = 4

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

(a + 5) + (b - 1) i = 7 - 3 i

z^{2} + 4 i z + 5 = 0

\frac{2 + 5 i}{1 - i} = x + y i

a, ∣ a + bi ∣ = 1

What is the answer to 5x+13+(2y-7)i=-2+i ?
The answer to 5x+13+(2y-7)i=-2+i is x=-3,y=4