Question

Please solve it correctly and as soon as possible with all steps :
2/(x - 3) + 1/(x - 1) = 5/(x - 1) - 2/(x - 2)​

Answer 1

Answer:

x = 7/3

Step-by-step explanation:

Given:

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

LCM = (x - 3)(x - 1)(x - 2)

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

⇒ 2[x² - 2x - 1 + 2] + (x² - 2x - 3x + 6) = 5(x² - 2x - 3x - 6) - 2(x² - x - 3x + 3)

⇒ 3x² - 11x + 10 = 3x² - 17x + 24

⇒ 6x = 14

⇒ x = 14/6

⇒ x = 7/3

Hope it helps!