Question

Fill in the blanks to make a true statement.

(2+___i) + (___+3i) = 6 + 8i

Answer 1

(2+ 5i) + (4 + 3i) = 6 + 8i

Explanation:

2 + xi + y + 3i = 6 + 8i

(2 + y) + xi + 3i = 6 +8i

(2 + y) + (x + 3)i = 6 + 8i

Compare real numbers

2 + y = 6

y = 6 - 2

y = 4

Compare imaginary numbers

x + 3 = 8

x = 8 - 3

x = 5