What is the answer to (3x-i)(2y+i)=-11+7i ?

The answer to (3x-i)(2y+i)=-11+7i is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(3x-i)(2y+i)=-11+7i

(3 x - i) (2 y + i) = - 11 + 7 i

(x = 1, y = - 2 x = \frac{4}{3}, y = - \frac{3}{2})

Solution steps

(3 x - i) (2 y + i) = - 11 + 7 i

Expand

(3 x - i) (2 y + i) : (6 x y + 1) + i (- 2 y + 3 x)

(6 x y + 1) + i (- 2 y + 3 x) = - 11 + 7 i

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

[6 x y + 1 = - 11 - 2 y + 3 x = 7]

[6 x y + 1 = - 11 - 2 y + 3 x = 7] : (x = 1, y = - 2 x = \frac{4}{3}, y = - \frac{3}{2})

(x = 1, y = - 2 x = \frac{4}{3}, y = - \frac{3}{2})

4 + x + 3 i = 8 - (y + 1) i

- \frac{1}{z - i} + 1 - i - z = 0

- 3 + 4 i = (x + i y)^{2}

i (x) = 3 - \frac{4}{2 - x}

x + y i = 9 + 2 i

What is the answer to (3x-i)(2y+i)=-11+7i ?
The answer to (3x-i)(2y+i)=-11+7i is