What is the answer to x-5i+2=4-3i+yi ?

The answer to x-5i+2=4-3i+yi is x=2,y=-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x-5i+2=4-3i+yi

x - 5 i + 2 = 4 - 3 i + y i

x = 2, y = - 2

Solution steps

x - 5 i + 2 = 4 - 3 i + y i

Rewrite

x - 5 i + 2

in standard complex form:

(x + 2) - 5 i

(x + 2) - 5 i = 4 - 3 i + y i

Rewrite

4 - 3 i + y i

in standard complex form:

4 + (- 3 + y) i

(x + 2) - 5 i = 4 + (- 3 + y) i

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

[x + 2 = 4 - 5 = - 3 + y]

[x + 2 = 4 - 5 = - 3 + y] : x = 2, y = - 2

x = 2, y = - 2

(x + y i) + (4 + 9 i) = 9 - 4 i

x - i y = 3 + 4 i

5 i - 6 x = (10 y) i + 2

x^{2} - 7 x + 9 y i = y^{2} i + 20 i - 12

18 i + 3 x = (9 y) i