Answer
The sum of is $-3i$.
See Graph I, the resultant $-3i$ is in RED.
Work Step by Step
The sum of $5 - 6i$ and $-5 + 3i$ is $-3i$.
Refer to Graph I, the complex number, $5 - 6i$ and $-5 + 3i$ are in BLUE, while the resultant $-3i$ is in RED.