20div9=-1div3(x+2div3) eching

$$20 \div 9=-1 \div 3(x+2 \div 3)$$

x uchun yechish

$$x = -\frac{22}{3} = -7\frac{1}{3} \approx -7,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{-1}{3} kasri manfiy belgini olib tashlash bilan -\frac{1}{3} sifatida qayta yozilishi mumkin.

$$\frac{20}{9}=-\frac{1}{3}\left(x+\frac{2}{3}\right)$$

-\frac{1}{3} ga x+\frac{2}{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{20}{9}=-\frac{1}{3}x-\frac{1}{3}\times \frac{2}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{3} ni \frac{2}{3} ga ko‘paytiring.

$$\frac{20}{9}=-\frac{1}{3}x+\frac{-2}{3\times 3}$$

\frac{-2}{3\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{20}{9}=-\frac{1}{3}x+\frac{-2}{9}$$

\frac{-2}{9} kasri manfiy belgini olib tashlash bilan -\frac{2}{9} sifatida qayta yozilishi mumkin.

$$\frac{20}{9}=-\frac{1}{3}x-\frac{2}{9}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-\frac{1}{3}x-\frac{2}{9}=\frac{20}{9}$$

\frac{2}{9} ni ikki tarafga qo’shing.

$$-\frac{1}{3}x=\frac{20}{9}+\frac{2}{9}$$

\frac{20}{9} va \frac{2}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{1}{3}x=\frac{20+2}{9}$$

22 olish uchun 20 va 2'ni qo'shing.

$$-\frac{1}{3}x=\frac{22}{9}$$

Ikki tarafini -3 va teskari kasri -\frac{1}{3} ga ko‘paytiring.

$$x=\frac{22}{9}\left(-3\right)$$

\frac{22}{9}\left(-3\right) ni yagona kasrga aylantiring.

$$x=\frac{22\left(-3\right)}{9}$$

-66 hosil qilish uchun 22 va -3 ni ko'paytirish.

$$x=\frac{-66}{9}$$

\frac{-66}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{22}{3}$$