Question

find real value of x and y, if (x+iy)(2-3i)=4+i

Answer 1

Answer:

The real values of x and y are 2 and 4 respectively.

Step-by-step explanation:

Given, (x+iy) (2-3i) = 4 + i

(x+2) {(y-3) i} = 4 + i

From the given equations the real and imaginary values are equated. Since only real value is asked we have equated the real value only.

Thus the equation becomes,

x + 2 = 4    y-3 = 1

x = 4-2 = 2          y = 1 + 3 = 4 

Hence the real values are x = 2, y = 4.