Answer:
[tex](a + bi) + (2 - i) = 3 + i \\ a + bi + 2 - i = 3 + i \\ (a + 2) + (bi - i) = 3 + i \\ (a + 2) + (b - 1)i = 3 + i[/tex]
Now, by comparing the coefficients of i, we get
[tex]b - 1 = 1 \\ b = 1 + 1 \\ \boxed{ b = 2}[/tex]
- b = 2 is the right answer.
