4/9y^2-1-4/3y+1=5/1-3y eching

$$\frac { 4 } { 9 y ^ { 2 } - 1 } - \frac { 4 } { 3 y + 1 } = \frac { 5 } { 1 - 3 y }$$

y uchun yechish

$$y = -\frac{13}{3} = -4\frac{1}{3} \approx -4,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

y qiymati -\frac{1}{3},\frac{1}{3} qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(3y-1\right)\left(3y+1\right) ga, 9y^{2}-1,3y+1,1-3y ning eng kichik karralisiga ko‘paytiring.

$$4-\left(3y-1\right)\times 4=\left(-1-3y\right)\times 5$$

3y-1 ga 4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4-\left(12y-4\right)=\left(-1-3y\right)\times 5$$

12y-4 teskarisini topish uchun har birining teskarisini toping.

$$4-12y+4=\left(-1-3y\right)\times 5$$

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

$$8-12y=\left(-1-3y\right)\times 5$$

-1-3y ga 5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8-12y=-5-15y$$

15y ni ikki tarafga qo’shing.

$$8-12y+15y=-5$$

3y ni olish uchun -12y va 15y ni birlashtirish.

$$8+3y=-5$$

Ikkala tarafdan 8 ni ayirish.

$$3y=-5-8$$

-13 olish uchun -5 dan 8 ni ayirish.

$$3y=-13$$

Ikki tarafini 3 ga bo‘ling.

$$y=\frac{-13}{3}$$

\frac{-13}{3} kasri manfiy belgini olib tashlash bilan -\frac{13}{3} sifatida qayta yozilishi mumkin.

$$y=-\frac{13}{3}$$