SOLUTION: REplace A with proper expression where the fractions are equivalent: 7/a+5=7a-35/A. I am not sure how to go about solving these kind of problems. Any help would be appreciated. Th

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: REplace A with proper expression where the fractions are equivalent: 7/a+5=7a-35/A. I am not sure how to go about solving these kind of problems. Any help would be appreciated. Th      Log On


   

Question 627882: REplace A with proper expression where the fractions are equivalent: 7/a+5=7a-35/A.
I am not sure how to go about solving these kind of problems. Any help would be appreciated. Thank you
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
REplace A with proper expression where the fractions are equivalent:
:
7%2F%28%28a%2B5%29%29 = %28%287a-35%29%29%2FA
factor out 7 in the 2nd numerator
7%2F%28%28a%2B5%29%29 = %287%28a-5%29%29%2FA
divide both sides by 7, results:
1%2F%28%28a%2B5%29%29 = %28%28a-5%29%29%2FA
Cross multiply
A = (a+5)(a-5)
A = a^2 - 25
Equiv:
7%2F%28%28a%2B5%29%29 = %28%287a-35%29%29%2F%28%28a%5E2-25%29%29