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

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

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

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

x = \frac{7}{5}, y = \frac{3}{5}

Solution steps

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

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

[x + y = 2 2 x - 3 y = 1]

[x + y = 2 2 x - 3 y = 1] : x = \frac{7}{5}, y = \frac{3}{5}

x = \frac{7}{5}, y = \frac{3}{5}

(x i)^{2} + 125.6637 x i + 1184 = 0

x + i y + 2 x - 2 i = \frac{2 - i}{1 + 3 i}

r (t) = (3 - 3 t) i + 4 t j, 0 \leq t \leq 1

\frac{a - 6 i}{- 2 + 3 i} = b - 7

x, x^{2} + 2 x i - 5 = 3 i

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