SOLUTION: Find the real numbers (a) and (b) that satisfy this equation. (2+i)(a+ib)=11-2i I would appreciate if you could show the working out a swell :) Thank you in advance!

Question 917045: Find the real numbers (a) and (b) that satisfy this equation.
(2+i)(a+ib)=11-2i
I would appreciate if you could show the working out a swell :)
Thank you in advance!
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
(2+i)(a+ib)=11-2i
then ai + 2bi = -2i, a+2b = -2
11 then 2a - b = 11
...
-2(a+ 2b = -2)
2a - b = 11
-5b = 15
b = -3 and a = 4
and..checking
(2 + i)(4 - 3i) = 11 - 2i

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