127k views
2 votes
Solve 3/x+2 - 1/x = 1/5x. Show your work.

User Wowsk
by
7.3k points

2 Answers

4 votes

(3)/(x+2) - (1)/(x) = (1)/(5x)


((3*x)-(1*(x+2)))/((x+2)*x) = (1)/(5x)


(3x - x - 2 )5 = (x(x+2))/(x)


(2x-2)5 = x+2


10x - 10 = x + 2


10x - x = 2 + 10


9x = 12


x = (12)/(9) = (4)/(3) = 1.3333333333333 ≈ 1.3
User Tllewellyn
by
6.2k points
6 votes
( 3x - x -2) / x (x + 2) = 1/5x (2x - 2) / x(x +2) = 1/5x 2x - 2 = (x + 2) / 5 10x - 10 = x + 2  9x = 12 x = 12/9 x = 4/3
User Smurker
by
7.4k points