Find the values of x and y in the following equation.

(x+yi) + (4+9i) = 9-4i

A. x = - 9 and y = 4

B. x = 5 and y = - 13

C. x = 5 and y = 13

D. x = 9 and y = - 4

B. x = 5 and y = - 13

Step-by-step explanation:

Subtract the constant on the left:

... (x + yi) = (9 - 4i) - (4 + 9i)

... = (9 - 4 + i (-4-9))

... = 5 - 13i

Matching real and imaginary parts, we see that ...

... x = 5, y = - 13