# How do you solve 5-3i=2+9i?

May 27, 2018

$i = 4$

#### Explanation:

As per the question, we have

$5 - 3 i = 2 + 9 i$

$\therefore 5 - 5 - 3 i + 3 i = 2 - 5 + 9 i + 3 i$ ... [Adding $3 i$ and Subtracting $5$ in both sides]

$\therefore \cancel{5} \cancel{-} 5 \cancel{-} 3 i + \cancel{3} i = 2 - 5 + 9 i + 3 i$

$\therefore 0 = - 3 + 12 i$

$\therefore 3 = 12 i$

$\therefore i = \frac{12}{3}$

$\therefore i = 4$