# Add and Subtract Complex Numbers

How to add and subtract complex numbers: 2 examples and their solutions.

## Example(5 + 2i) + (8 - 3i)

Solution

Solution (Detail)

Add the real number parts.

5 + 8 = 13

Subtract the imaginary number parts.

+2i - 3i = -i.

So

(5 + 2i) + (8 - 3i) = 13 - i.

So

13 - i

is the answer.

## Example(3 + i) - (2 - 7i)

Solution

Solution (Detail)

-(2 - 7i) = -2 + 7i

Subtract the real number parts.

3 - 2 = 1

Add the imaginary number parts.

+i + 7i = +8i.

So

3 + i - 2 + 7i = 1 + 8i.

So

1 + 8i

is the answer.