Question

Which of the following is the solution to 3/x + 2/(x+1) = 3/5x?

-11/6

-6/11

11/6

6/11

Answer 1

Answer:

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

[3 · 5(x + 1) + 2 · 5x] / 5x(x + 1) = 3(x + 1) / 5x(x + 1)

3 · 5(x + 1) + 2 · 5x = 3(x + 1)

15x + 15 + 10x = 3x + 3

15x + 10x - 3x = -15 + 3

22x = -12

x     = -12/22 = -6/11