Question

If (2x + iy) + (y - 3ix) = 12 - 3i, then X = _____ y = _____

• A. 2,5
• B. 3,6
• C. 2,3
• D. 3,1

Answer 1

The correct option is B

3,6

(a + ib) + (c + id) = (a + c) + i (b + d)

So, (2x + iy) + (y - 3ix) = (2x + y) + I (y - 3x)

= 12 - 3i [given]

2x + y = 12 --------- (1)

-y + 3x = 3

______________________

5x = 15 x = 3

From (1) y = 12 - 2x = 6

So, x = 3, y = 6