Find the real values of x and y, if

Given:

⇒

⇒

⇒

We know that i²=-1

⇒

⇒

⇒ (4+2i)x-3i-3+(9-7i)y=10i

⇒ (4x+9y-3)+i(2x-7y-3)=10i

Equating Real and Imaginary parts on both sides we get

⇒ 4x+9y-3=0 and 2x-7y-3=10

⇒ 4x+9y=3 and 2x-7y=13

On solving these equations we get

⇒ x=3 and y=-1

∴ Thee real values of x and y are 3 and -1