If (2 - 3i) + (x + yi) = 6, what is x + yi?

Solution:

Given, (2 - 3i) + (x + yi) = 6

We have to find x + yi

The equation can be rewritten as 

2 - 3i + x + yi = 6 + 0i

Grouping of common terms,

x + yi = 6 + 0i - 2 + 3i

x + yi = 4 + 3i

Therefore, x + yi = 4 + 3i

Example: If (3 - 3i) + (x + yi) = 5, what is x + yi?

Solution:

Given, (3 - 3i) + (x + yi) = 5

We have to find x + yi

The equation can be rewritten as 

3 - 3i + x + yi = 5 + 0i

Grouping of common terms,

x + yi = 5 + 0i - 3 + 3i

x + yi = 2 + 3i

Therefore, x + yi = 2 + 3i.

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If (2 - 3i) + (x + yi) = 6, what is x + yi?

Summary:

If (2 - 3i) + (x + yi) = 6, then x + yi is 4 + 3i.