Answer
The sum of is $3$.
See Graph I, the resultant $3$ is in RED.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/f60239fa-91fe-4fce-b80d-8f5b60ef2d95/result_image/1510078819.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T011923Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=3b72a5aa585d4d841b24d665936924f7fbc969da13d464788e33fe1fd3c359fb)
Work Step by Step
The sum of $7 - 3i$ and $-4 + 3i$ is $3$.
Refer to Graph I, the complex number, $7 - 3i$ and $-4 + 3i$ are in BLUE, while the resultant $3$ is in RED.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/f60239fa-91fe-4fce-b80d-8f5b60ef2d95/steps_image/small_1510078819.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T011923Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=e19dd65d16b802e2caf2daef0943b203acc01473b90fe263fa3ea123ab67171e)