What is the answer to (1+i)(x+iy)=2-5i ?

The answer to (1+i)(x+iy)=2-5i is x=-3/2 ,y=-7/2

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(1+i)(x+iy)=2-5i

(1 + i) (x + i y) = 2 - 5 i

x = - \frac{3}{2}, y = - \frac{7}{2}

Solution steps

(1 + i) (x + i y) = 2 - 5 i

Expand

(1 + i) (x + i y) : (x - y) + i (x + y)

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

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

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

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

x = - \frac{3}{2}, y = - \frac{7}{2}

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

t, a = v f - \frac{v i}{t}

1.2 x + 3 + y i = 7.2 - 4.3 i

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

\frac{18 + i}{4 + 3 i} = a + bi

What is the answer to (1+i)(x+iy)=2-5i ?
The answer to (1+i)(x+iy)=2-5i is x=-3/2 ,y=-7/2