Question

2. Find the real values of x and y, if
(i) (x + iy)(2 - 3i) = 4 + i​

Answer 1

Answer:

2x -3xi + 2yi -3yi^2 A= 4 + I

( 2x + 3 y ) + ( 2y - 3x ) i = 4 + I

Comparing both sides

2x + 3y = 4

-≥ 4x +6y = 8

2y- 3x = 1

6y - 9x = 3

-≥ 3 + 9x = 8 - 4x

x = 5/13

2y = 1 + 15/13

2y = 28/13

y = 14/13

Answer 2

Answer:

the real values of x and y is

x=5/13

y=14/13