If $3 x+i(4 x-6 y)=2-i$ then the values of x and y are respectively

Question

Professor PC Thomas Classes · Answer

Equating real and imaginary parts: $3x = 2 \implies x = \frac{2}{3}$, and $4x - 6y = -1 \implies 4(2/3) - 6y = -1 \implies 6y = \frac{8}{3} + 1 = \frac{11}{3} \implies y = \frac{11}{18}$.