Answer: x= -4 and y=-3
Step-by-step explanation:
We know that a complex number is given by :-
[tex]z=a+bi[/tex] , where a = real part and b = imaginary part .
When two complex number are equal then
- their corresponding real part are equal.
- their corresponding imaginary part are equal.
Given equation represents two complex numbers are equal.
[tex]9x-18i=-36+6yi[/tex]
⇒ corresponding real part are equal.
⇒ 9x=-36
⇒ x= -4 [Divide both sides by 9]
Also, corresponding imaginary part are equal.
⇒ -18= 6y [coefficient of i]
⇒ -3=y [Divide both sides by 6]
Therefore , the values of x and y are -4 and -3 respectively.
