Question

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

Answer 1

B. x = 5 and y = -13

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