Answer:
x + yi = 4 + 3i .
Step-by-step explanation:
Given : If (2 − 3i) + (x + yi) = 6,
To find : x + yi.
Solution : We have given that (2 − 3i) + (x + yi) = 6
We can rewrite the equation as
(2 − 3i) + (x + yi) = 6 + 0i
On removing parenthesis
2 − 3i + x + yi = 6 + 0i
On removing by 2 both sides
− 3i + x + yi = 6 - 2 + 0i.
− 3i + x + yi = 4 + 0i.
On adding 3i both sides
x + yi = 4 + 3i .
Therefore, x + yi = 4 + 3i .