SOLUTION: find the complex number a + bi such that 5a + 3b = 1 and -5a = 7 + 4a

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Question 221736: find the complex number a + bi such that 5a + 3b = 1 and -5a = 7 + 4a
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
5a + 3b = 1 and -5a = 7 + 4a

From the second equation,
-9a=7
a=-7/9

Back into the first equation:
5a+3b=1
5(-7/9)+3b=1
-35/9 +3b=1
-35/9+35/9+3b=1+35/9
3b=9/9+35/9
3b=44/9
b=44/27

a%2Bbi=-7%2F9%2B%2844%2F27%29i

Check me out to see if I have any "math" errors here. There isn't a handy way to check this without essentially re-working it. Sorry about that!!

R^2

Dr. Robert J. Rapalje