Find the real numbers x and y that make the equation true.
-$( - 2 - 5 i ) + 6 = x - ( 7 + y i )$
A) $x = - 1 , y = 5$
B) $x = 11 , y = 5$
C) $x = - 15 , y = 5$
D) $x = - 1 , y = - 5$

Question

Quizplus · Accepted Answer

To solve the equation, first simplify the left side: $(-2 - 5i) + 6 = 4 - 5i$. Then, compare this to the right side of the equation, $x - (7 + yi)$, which simplifies to $x - 7 - yi$. Matching real and imaginary parts, we get $x - 7 = 4$ and $-y = -5$, leading to $x = 11$ and $y = 5$.

Find the Real Numbers X and Y That Make the Equation