Question

if x+iy = 3+5i/ 7-6i then y=​

Answer 1

Answer:

(x−iy)(3+5i)=(3x+5y)+i(5x−3y)

It is given that (x−iy)(3+5i) is the conjugate of −6−24i

.

(x−iy)(3+5i)=

−6−24i

(3x+5y)+i(5x−3y)=−6+24i

3x+5y=−6 and 5x−3y=24

Solving these equations, we get, x=3 and y=−3.