Determine the values of a and b that satisfy the equation. $$8 - 7 i = ( a + 4 ) + ( b - 9 ) i$$
A) $a = 4 ; b = 2$
B) $a = 12 ; b = 16$
C) $a = 17 ; b = 11$
D) $a = 1 ; b = - 5$
E) $a = - 2 ; b = - 4$

Question

Quizplus · Accepted Answer

By comparing the real and imaginary parts of the complex numbers, we get $a + 4 = 8$ and $b - 9 = -7$. Solving these equations gives $a = 4$ and $b = 2$.

Determine the Values of a and B That Satisfy the Equation