What is the answer to 3x-2iy-ix+5y=7+5i ?

The answer to 3x-2iy-ix+5y=7+5i is x=39,y=-22

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3x-2iy-ix+5y=7+5i

3 x - 2 i y - i x + 5 y = 7 + 5 i

x = 39, y = - 22

Solution steps

3 x - 2 i y - i x + 5 y = 7 + 5 i

Rewrite

3 x - 2 i y - i x + 5 y

in standard complex form:

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

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

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

[3 x + 5 y = 7 - 2 y - x = 5]

[3 x + 5 y = 7 - 2 y - x = 5] : x = 39, y = - 22

x = 39, y = - 22

x + i y = ∣ x - i y ∣

\frac{4 + x i}{2 + i} = y + 2 i

(a - 1) + (b + 3) i = 5 + 8 i

(x - i y)^{2} = 4 (x + i y)

z^{2} + (2 i - 3) z + 5 - i = 0

What is the answer to 3x-2iy-ix+5y=7+5i ?
The answer to 3x-2iy-ix+5y=7+5i is x=39,y=-22