Question

9. Determine real numbers x and y for which the following equations are true :

(iii) x + 4iy = ix + y ++3

​

Answer 1

Step-by-step explanation:

Explanation:

x

+

4

i

y

=

i

x

+

y

+

3

⇒

x

−

y

+

4

i

y

−

i

x

=

3

⇒

x

−

y

+

i

(

4

y

−

x

)

=

3

We can write

3

as

3

+

0

i

⇒

x

−

y

+

i

(

4

y

−

x

)

=

3

+

0

i

Equating the real and imaginary parts...

x

−

y

=

3

4

y

−

x

=

0

4

y

=

x

⇒

4

y

−

y

=

3

⇒

y

=

1

⇒

x

=

4

x

=

4

,

y

=

1

Answer 2

Answer:(4,1)

Step-by-step explanation:

x + 4iy = ix + y ++3

x + 4iy = ix + y +3

so x= y+3  comparing Real .....1

4y = x    compairing Imaginery ......(2)

substituting 1 in 2 we get

4y =  y+3

3y=3

y=1

x=4