SOLUTION: Simplify: {{{ (7x - 9) / (x^2 - 25) }}} - {{{ 3 / (x - 5) }}} = {{{ 2 / (x

SOLUTION: Simplify: {{{ (7x - 9) / (x^2 - 25) }}} - {{{ 3 / (x - 5) }}} = {{{ 2 / (x - 5) }}}

Question 143103: Simplify: - =
Found 2 solutions by checkley77, ptaylor:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(7x-9)/(x^2-25)-3/(x-5)=2/(x-5)
(7x-9)/x^2-25)=3/(x-5)+2/(x-5)
(7x-9)/(x-5)(x+5)=5/(x-5) now cancel out the (x-5) terms in the denominators.
(7x-9)/(x+5)=5 now cross multiply.
7x-9=5(x+5)
7x-9=5x+25
7x-5x=25+9
2x=34
x=34/2
x=17 answer.
Proof:
(7*17-9)/(17^2-25)-3/(17-5)=2/(17-5)
(119-9)/(289-25)-3/(17-5)=2/917-5)
110/264-3/12=2/12
5/12-3/12=2/12
2/12=2/12

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Simplify: - =
First, we need to recognize that =
So, is the LCM and we need to multiply each term by . When we do, we get:
get rid of parens
or
add 24 to and subtract 2x from each side:
collect like terms
divide each side by 2
----------------------------------ans

Hope this helps---ptaylor
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