SOLUTION: {{{((15/x)-5)/(x-3)}}}, simplify with rationalizing and substitute in 3 for x. The answer key says it is {{{-5/3}}} but I don’t know how to get there

Algebra ->  Rational-functions -> SOLUTION: {{{((15/x)-5)/(x-3)}}}, simplify with rationalizing and substitute in 3 for x. The answer key says it is {{{-5/3}}} but I don’t know how to get there      Log On


   

Question 1122227: %28%2815%2Fx%29-5%29%2F%28x-3%29, simplify with rationalizing and substitute in 3 for x. The answer key says it is -5%2F3 but I don’t know how to get there
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Nothing to rationalize; no irrational numbers, no irrational expressions present.

If you substitute 3 for x, then your denominator there is 0, which is impossible.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
%28%2815%2Fx%29-5%29%2F%28x-3%29, simplify with rationalizing and substitute in 3 for x. The answer key says it is -5%2F3 but I don’t know how to get there
As it is now, matrix%281%2C3%2C+x+%3C%3E+0%2C+and%2C+x+%3C%3E+3%29

However, SIMPLIFYING the expression will result in: -+5%2Fx.

When 3 is substituted for x in this SIMPLIFIED FORM, you'll get: highlight_green%28-+5%2F3%29