Question

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

A.
x = 5 and y = 13
B.
x = 9 and y = -4
C.
x = 5 and y = -13
D.
x = -9 and y = 4

Answer 1

C.

y = -13

x = 5

Explanation:

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

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

i(9+y) = -4i ➡ 9+y = -4 ➡ y = -13

4 + x = 9 ➡ x = 5

Answer 2

C.

Explanation:

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

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

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

Comparing the real and imaginary part we get:

x+4=9 OR y+9=-4(imaginary portion)

x=9-4 OR y=-4-9

x=5 OR y=-13