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

The answer to x+2y+3i=3+(2x-y)i is x= 9/5 ,y= 3/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{9}{5}, y = \frac{3}{5}

Solution steps

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

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

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

[x + 2 y = 3 3 = 2 x - y] : x = \frac{9}{5}, y = \frac{3}{5}

x = \frac{9}{5}, y = \frac{3}{5}

(ii) 6 x^{2} - 24 = 0

x^{2} + (- 2 + 3 i) x - 2 - 4 i = 0

(z \cdot + 3 i) \cdot = z - 3 i

x + 6 i = (3 - i) + (4 - 2 y i)

\frac{z + 1}{z - 1} = 2 i

What is the answer to x+2y+3i=3+(2x-y)i ?
The answer to x+2y+3i=3+(2x-y)i is x= 9/5 ,y= 3/5