ANSWER
x=-3, y=6
EXPLANATION
The given equation is
[tex] - 3 + yi = x + 6i[/tex]
We can rewrite this equation as:
[tex]x - yi = - 3 - 6i[/tex]
The two complex number equations are equal therefore their corresponding parts are also equal.
Comparing the real number parts,
[tex]x = - 3[/tex]
Comparing the complex number part,
[tex] - y = - 6[/tex]
y=6.
