Question

2015 #11

Answer 1

Answer:  27/14

Step-by-step explanation:

(x+2)/x +(x-6)/3x = (2x+9)/5x      

(3x+6)/3x + (x-6)/3x = (2x+9)/5x       First term:  [(x+2)/x]*(3/3) = (3x+6)/3x

(4x)/3x = (2x+9)/5x                             Combine (3x+6)/3x + (x-6)/3x  [=(4x)/3x]

(4/3)*5x = 2x + 9                      [(4x)/3x = 4/3] and multiply both sides by 5x

(20/3)x - 9 = 2x                     [(4/3)*5x] = (20/3)x;   Subtract 9 from both sides

20x - 27 = 6x                Multiply both sides by 3

14x = 27                          Simplify

x = 27/14                          And solve