Add the complex numbers 5 - 12i and 3 - 7i.

Given:
There are two complex numbers given as below
[tex]\begin{gathered} a=5-12i \\ b=3-7i \end{gathered}[/tex]Required:
We need to add both numbers
Explanation:
[tex]\begin{gathered} a+b \\ =5-12i+3-7i. \\ =8+i(-12-7) \\ =8-19i \end{gathered}[/tex]Final answer:
8-19i