Hi

Solve the equation for x and y: (x - iy) (2 + 3i) = x+2i / 1-i

 LHS

=(2x+3y) + i(3x-2y)---------(i)

RHS

(x+2i)(1+i)/(1-i) ( 1+i)

=(x-2) / 2+ i(x+2)/2--------- (ii)

From (i) and (ii),

2x+3y=(x-2)/2                       and 3x-2y =(x+2)/2

⇒3x+6y = -2  -----(iii)     and 5x-4y=2--------(iv)

On solving (iii) and (iv), we get,

x= 2/21    and      y = -8/21

 

  • 2
This is correct.using the value of x calculate y

  • 7
What are you looking for?