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