Question

solve the following for the values of x and y
(x+iy)(3+i)=2+4i​

Answer 1

Step-by-step explanation:

LHS=3x++ix+3iy+i^2y

=3x+ix+3iy-y

On comparing with RHS

2=3x-y. eq.1

4i=i (X+3y)

4=X+3y. e.q.2

×eq1 by 2 and solving eq1&2 by elimination,we get.

4=6x-3y

4=X +3y

- - -

0=5x-0

X=0

y=-2