Answer:
a= 6
b= -12
Step-by-step explanation:
In complex number algebra, you need to sum the real values with each others and the imaginary values with each others.
In order to determine which number is a real value and which one is an imaginary, we must expand the parenthesis terms:
[tex](a-3) + (b+8)i =a - 3 + bi + 8i = 3 - 4i[/tex]
Now we match real numbers with real numbers and imaginary numbers with imaginary numbers:
[tex]a - 3 = 3\\a= 3 - (-3) = 6\\\\b + 8 = -4 \\b= -4 -8 = -12\\[/tex]
