(3x+2)−(5y−3)i and (6x+3)+(2y−4)i are conjugates of each other. (3x+2)−(5y−3)i=(6x+3)−(2y−4)i On comparing real parts and imaginary parts, we get 3x+2‌=6x+3,‌‌5y−3=2y−4 3x‌=−1,‌‌3y=−1 x‌=−1∕3,‌‌y=−1∕3 ∴‌‌‌