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

$$\frac { 5 } { y - 2 } - \frac { 2 y - 2 } { y ^ { 2 } - 4 } = \frac { 6 } { y + 2 }$$

y uchun yechish

$$y=8$$

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.

$$\left(y+2\right)\times 5-\left(2y-2\right)=\left(y-2\right)\times 6$$

y+2 ga 5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$5y+10-\left(2y-2\right)=\left(y-2\right)\times 6$$

2y-2 teskarisini topish uchun har birining teskarisini toping.

$$5y+10-2y+2=\left(y-2\right)\times 6$$

3y ni olish uchun 5y va -2y ni birlashtirish.

$$3y+10+2=\left(y-2\right)\times 6$$

12 olish uchun 10 va 2'ni qo'shing.

$$3y+12=\left(y-2\right)\times 6$$

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

$$3y+12=6y-12$$

Ikkala tarafdan 6y ni ayirish.

$$3y+12-6y=-12$$

-3y ni olish uchun 3y va -6y ni birlashtirish.

$$-3y+12=-12$$

Ikkala tarafdan 12 ni ayirish.

$$-3y=-12-12$$

-24 olish uchun -12 dan 12 ni ayirish.

$$-3y=-24$$

Ikki tarafini -3 ga bo‘ling.

$$y=\frac{-24}{-3}$$

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

$$y=8$$