Question

Find the real numbers x and y that make the equation true.
-3 + yi = x + 6i

Answer 1

\[\large\quad-3+yi=x+6i\]
lets compair the real parts
\[~{\frak R}(-3+yi)={\frak R}(x+6i)\]\[\qquad\qquad-3=x\]
and now the imaginary parts
\[~{\frak I}(-3+yi)={\frak I}(x+6i)\]\[\qquad\qquad y=6\]

Answer 2

that is one fancy \(\frak R\)