the result of 2-3x/6x+5 + x+1/2x-1 is

2 -3/6x +5 +x +1/2x -1
= 2 -½x +5 +x +½x -1
= -½x +½x +x +2 +5 -1
= x +6

Diketahui :
- (2 - 3x)/(6x + 5)
- (x + 1)/(2x - 1)

Ditanya :
- (2 - 3x)/(6x + 5) + (x + 1)/(2x - 1) = ....?

Penyelesaian :

[tex] \frac{2 - 3x}{6x + 5} + \frac{x + 1}{2x - 1} \\ = \frac{(2 - 3x)(2x - 1) + (x + 1)(6x + 5)}{(6x + 5)(2x - 1)} \\ = \frac{ - 6x ^{2} + 7x - 2 + 6x ^{2} + 11x + 5 }{12x^{2} + 4x - 5} \\ = \frac{ - 6x ^{2} + 6x ^{2} + 7x + 11x - 2 + 5 }{12x ^{2} + 4x - 5 } \\ = \frac{18x + 3}{12x ^{2} + 4x - 5 } [/tex]

Maaf Kalau Salah