Find the real numbers x and y that make the equation true.
-$$( x + 2 i ) = ( 4 - i ) + ( - 4 - 6 y i )$$
A) $x = 0 , y = - \frac { 1 } { 2 }$
B) $x = 8 , y = 3$
C) $x = 8 , y = \frac { 1 } { 2 }$
D) $x = 0 , y = 3$

Question

Quizplus · Accepted Answer

To solve for $x$ and $y$, equate the real and imaginary parts on both sides of the equation: $x + 2i = 4 - i - 4 - 6yi$. Simplifying, we get $x = 0$ (since the real parts on both sides must be equal) and $2 = -1 - 6y$ (equating the imaginary parts), solving for $y$ gives $y = -\frac{1}{2}$.

Find the Real Numbers X and Y That Make the Equation