Question

Find the value of x and y if
2x+3yi+3=5-9i
​

Answer 1

Answer:

X=1 Y=2

Step-by-step explanation:

Here conjugate of 5+4i is 5-4i

and (a+2y)+i(2x-3y) is the conjugate of 5+4i

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

comparing real parts and imaginary parts we get

x+2y=5 and 2x-3y=-4 _________ (1)

⇒x=5−2y

substituting value of x is (ii), we get

2(5-2y)-3y=-4

10-4y-3y=-4

⇒7y=14

⇒y=2.

from (1), x=5-2(2)=5-4

∴x=1

since x=1, y=2.

Answer 2

equvating the real and imaginary part

3y=-9

y=-9/3

y= -3

2x+3=5

2x=5-3

2x=2

x=2/2=1

x=1