Final answer:
To find the sum of the complex numbers (3 – 4i) and (6 + 7i), add the real parts (3 + 6) to get 9, and the imaginary parts (– 4i + 7i) to get 3i, resulting in the sum of 9 + 3i.
Step-by-step explanation:
The question asks to find the sum of two complex numbers: (3 – 4i) and (6 + 7i). To add complex numbers, we combine the real parts and the imaginary parts separately. The real parts are 3 and 6, and their sum is 3 + 6 = 9. The imaginary parts are – 4i and 7i, and their sum is – 4i + 7i = 3i. Therefore, the sum of the two complex numbers is 9 + 3i.