request answer

Dear Student,

The given expression is

4x + i(3x - 2y) = 8 + i6

Now, we know that equality of complex numbers imply the equality of individual real and imaginary parts,

therefore,

Real part equality =>  4x = 8 => x = 2.

Imaginary part equality => 3x - 2y = 6

putting x = 2 from above,

6 - 2y = 6

=> y = 0.

Hence, x = 2 and y = 0.

Regards,

Topperlearning.