Question Detail
Question
If \((3+i)x + (1-2i)y + 7i = 0\), then the values of x and y respectively are
Correct Answer
Option B is the correct answer.
Detailed Explanation
Expand: ((3x + y) + i(x - 2y + 7) = 0 + 0i). So (3x + y = 0) and (x - 2y + 7 = 0). From first, (y = -3x). Substitute: (x - 2(-3x) + 7 = x + 6x + 7 = 7x + 7 = 0) (\Rightarrow x = -1), then (y = 3). So (x = -1, y = 3).
Hint
Separate real and imaginary parts and solve the system.