SOLUTION: if a and b are real numbers, i2=-1, and (a+b)+5i=9+ai, what are the steps to know the value of b

Algebra ->  Real-numbers -> SOLUTION: if a and b are real numbers, i2=-1, and (a+b)+5i=9+ai, what are the steps to know the value of b       Log On


   

Question 539096: if a and b are real numbers, i2=-1, and (a+b)+5i=9+ai,
what are the steps to know the value of b
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Equate the imaginary parts to get 5i = ai and solve for 'a' to get a = 5


Now equate the real parts to get a+b = 9 and plug in a = 5 to get 5+b = 9


From here, solve for b:


5+b = 9


b = 9-5


b = 4


So the answer is b = 4


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