Answer:
The values of x and y are x = 5 and y = -13 ⇒ B
Step-by-step explanation:
If the complex numbers are A = (a + bi) and B = (c + di), then
A + B = (a + c) + (b + d)i
- (b + d) is the imaginary part
Let us solve the question
∵ (x + yi) + (4 + 9i) = 9 - 4i
→ Add the real parts and the imaginary parts on the left side
∵ x, 4 are the real parts, and y and 9 are the imaginary parts
∴ (x + 4) + (y + 9)i = 9 - 4i
→ Compare the two sides, and equate the like terms
∵ 9 is the real part and -4 is the imaginary part
∴ x + 4 = 9
→ Subtract 4 from both sides
∴ x + 4 - 4 = 9 - 4
∴ x = 5
∵ y + 9 = -4
→ Subtract 9 from both sides
∵ y + 9 - 9 = - 4 - 9
∴ y = -13
