SOLUTION: HELP NEEDED! :) If 3a+4b/2a-2b=5 Find the value of a^2+2b^2/ab

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Question 953029: HELP NEEDED! :)
If 3a+4b/2a-2b=5
Find the value of a^2+2b^2/ab
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
FIRST EQUATION:
3a+4b/2a-2b=5 Multiply each side by (2a-2b)
3a+4b=10a-10b Subtract 3a from each side.
4b=7a-10b Add 10b to each side.
14b=7a Divide each side by 7.
2b=a First equation simplified: a=2b
SECOND EQUATION:
%28a%5E2%2B2b%5E2%29%2Fab
%28a%5E2%29%2Fab%2B%282b%5E2%29%2Fab
a%2Fb%2B2b%2Fa Substitute for a.(a=2b)
2b%2Fb%2B2b%2F2b=2%2B1=3ANSWER:Value of second equation = 3.