Suppose x and y are real numbers and 4x+3xi+yi−43=2y+2xi−x+2yi+5i . What is the product xy .

Answer 1

(4x-43) + (3x+y)i = (2y-x) + (2x+2y+5)i

so, for the two complex numbers above to be equal,

4x-43 = 2y-x
3x+y = 2x+2y+5

(x,y) = (11,6)

xy=66