Question

Identify the values of x and y that make the equation 3x − 4i = 9 + (16y)i true.

x = 3, y = 4
x = 3, y = −1/4
x = 3, y = −4
x = −3, y = 1/4

Answer 1

x = 3

and

y = -1/4

Explanation:

the complex part should be equal to complex part while the real part must be equal to real.

so :

3x = 9 ➡ x = 3

and

-4i = 16yi

-4 = 16y ➡ y = -1/4