SOLUTION: solve: 3/5 + 2 / x - 1 = 4 / 5x - 5 a) 5 / 3 b) - 5 / 3 c) 1 d) -1

Algebra ->  Rational-functions -> SOLUTION: solve: 3/5 + 2 / x - 1 = 4 / 5x - 5 a) 5 / 3 b) - 5 / 3 c) 1 d) -1      Log On


   

Question 318853: solve: 3/5 + 2 / x - 1 = 4 / 5x - 5
a) 5 / 3
b) - 5 / 3
c) 1
d) -1
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F5%29%2B%282%2F%28x-1%29%29=%284%2F%285x-5%29%29factor what u can
%283%2F5%29%2B%282%2F%28x-1%29%29=%284%2F%285%28x-1%29%29%29common denominator is 5(x-1)
multiply the 1's to the problem
%283%28x-1%29%2F%285%28x-1%29%29%29%2B%2810%2F5%28x-1%29%29=%284%2F%285%28x-1%29%29%29add numerators
%283%28x-1%29%2B10-4%29%2F%285%28x-1%29%29=0
%283x-3%2B6%29%2F%285%28x-1%29%29=0
%283x%2B3%29%2F%285%28x-1%29%29=0factor
3%28x%2B1%29%2F%285%28x-1%29%29=0 multiply each side by denominator
3%28x%2B1%29=0 divide by 3
%28x%2B1%29=0 subtract 1
%28x%29=-1