4/y-2-6y-4/y^2-4=6/y+2 eching

$$\frac { 4 } { y - 2 } - \frac { 6 y - 4 } { y ^ { 2 } - 4 } = \frac { 6 } { y + 2 }$$

y uchun yechish

$$y=3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

y qiymati -2,2 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(y-2\right)\left(y+2\right) ga, y-2,y^{2}-4,y+2 ning eng kichik karralisiga ko‘paytiring.

$$\left(y+2\right)\times 4-\left(6y-4\right)=\left(y-2\right)\times 6$$

y+2 ga 4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4y+8-\left(6y-4\right)=\left(y-2\right)\times 6$$

6y-4 teskarisini topish uchun har birining teskarisini toping.

$$4y+8-6y+4=\left(y-2\right)\times 6$$

-2y ni olish uchun 4y va -6y ni birlashtirish.

$$-2y+8+4=\left(y-2\right)\times 6$$

12 olish uchun 8 va 4'ni qo'shing.

$$-2y+12=\left(y-2\right)\times 6$$

y-2 ga 6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-2y+12=6y-12$$

Ikkala tarafdan 6y ni ayirish.

$$-2y+12-6y=-12$$

-8y ni olish uchun -2y va -6y ni birlashtirish.

$$-8y+12=-12$$

Ikkala tarafdan 12 ni ayirish.

$$-8y=-12-12$$

-24 olish uchun -12 dan 12 ni ayirish.

$$-8y=-24$$

Ikki tarafini -8 ga bo‘ling.

$$y=\frac{-24}{-8}$$

3 ni olish uchun -24 ni -8 ga bo‘ling.

$$y=3$$