Question

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

Answer 1

Answer:

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

The LCM of the LHS is (3x-1)(3x+1),

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

[6x+2+9x-3]/(3x)²-1²=5/3x

[15x-1]/9x²-1=5/3x

15x-1=5/3x × (9x²-1)

(15x-1)3x=5(9x²-1)         (by cross multiplying)

45x²-3x=45x²-5

-3x=(-5)                      (∵45x² on both sides get cancels)

⇒x=5/3

HOPE IT HELPS U......

Answer 2

Answer:

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

The LCM of the LHS is (3x-1)(3x+1),

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

[6x+2+9x-3]/(3x)²-1²=5/3x

[15x-1]/9x²-1=5/3x

15x-1=5/3x × (9x²-1)

(15x-1)3x=5(9x²-1)         (by cross multiplying)

45x²-3x=45x²-5

-3x=(-5)                      (∵45x² on both sides get cancels)

⇒x=5/3