(x-21/3*(-31/7)*(-22/11)/1frac{1{9}*(-1frac{1}{8})*16}):(-frac{1}{3})=6 eching

$$( x - \frac { 2 \frac { 1 } { 3 } \cdot ( - 3 \frac { 1 } { 7 } ) \cdot ( - 2 \frac { 2 } { 11 } ) } { 1 \frac { 1 } { 9 } \cdot ( - 1 \frac { 1 } { 8 } ) \cdot 16 } ) : ( - \frac { 1 } { 3 } ) = 6$$

x uchun yechish

$$x = -\frac{14}{5} = -2\frac{4}{5} = -2,8$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafini -\frac{1}{3} ga ko‘paytiring.

$$x-\frac{\frac{2\times 3+1}{3}\left(-\frac{3\times 7+1}{7}\right)\left(-\frac{2\times 11+2}{11}\right)}{\frac{1\times 9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$x-\frac{\frac{6+1}{3}\left(-\frac{3\times 7+1}{7}\right)\left(-\frac{2\times 11+2}{11}\right)}{\frac{1\times 9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

7 olish uchun 6 va 1'ni qo'shing.

$$x-\frac{\frac{7}{3}\left(-\frac{3\times 7+1}{7}\right)\left(-\frac{2\times 11+2}{11}\right)}{\frac{1\times 9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

21 hosil qilish uchun 3 va 7 ni ko'paytirish.

$$x-\frac{\frac{7}{3}\left(-\frac{21+1}{7}\right)\left(-\frac{2\times 11+2}{11}\right)}{\frac{1\times 9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

22 olish uchun 21 va 1'ni qo'shing.

$$x-\frac{\frac{7}{3}\left(-\frac{22}{7}\right)\left(-\frac{2\times 11+2}{11}\right)}{\frac{1\times 9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{3} ni -\frac{22}{7} ga ko‘paytiring.

$$x-\frac{\frac{7\left(-22\right)}{3\times 7}\left(-\frac{2\times 11+2}{11}\right)}{\frac{1\times 9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

Surat va maxrajdagi ikkala 7 ni qisqartiring.

$$x-\frac{\frac{-22}{3}\left(-\frac{2\times 11+2}{11}\right)}{\frac{1\times 9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

\frac{-22}{3} kasri manfiy belgini olib tashlash bilan -\frac{22}{3} sifatida qayta yozilishi mumkin.

$$x-\frac{-\frac{22}{3}\left(-\frac{2\times 11+2}{11}\right)}{\frac{1\times 9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

22 hosil qilish uchun 2 va 11 ni ko'paytirish.

$$x-\frac{-\frac{22}{3}\left(-\frac{22+2}{11}\right)}{\frac{1\times 9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

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

$$x-\frac{-\frac{22}{3}\left(-\frac{24}{11}\right)}{\frac{1\times 9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{22}{3} ni -\frac{24}{11} ga ko‘paytiring.

$$x-\frac{\frac{-22\left(-24\right)}{3\times 11}}{\frac{1\times 9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

\frac{-22\left(-24\right)}{3\times 11} kasridagi ko‘paytirishlarni bajaring.

$$x-\frac{\frac{528}{33}}{\frac{1\times 9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

16 ni olish uchun 528 ni 33 ga bo‘ling.

$$x-\frac{16}{\frac{1\times 9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

9 hosil qilish uchun 1 va 9 ni ko'paytirish.

$$x-\frac{16}{\frac{9+1}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

10 olish uchun 9 va 1'ni qo'shing.

$$x-\frac{16}{\frac{10}{9}\left(-\frac{1\times 8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

8 hosil qilish uchun 1 va 8 ni ko'paytirish.

$$x-\frac{16}{\frac{10}{9}\left(-\frac{8+1}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

9 olish uchun 8 va 1'ni qo'shing.

$$x-\frac{16}{\frac{10}{9}\left(-\frac{9}{8}\right)\times 16}=6\left(-\frac{1}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{10}{9} ni -\frac{9}{8} ga ko‘paytiring.

$$x-\frac{16}{\frac{10\left(-9\right)}{9\times 8}\times 16}=6\left(-\frac{1}{3}\right)$$

\frac{10\left(-9\right)}{9\times 8} kasridagi ko‘paytirishlarni bajaring.

$$x-\frac{16}{\frac{-90}{72}\times 16}=6\left(-\frac{1}{3}\right)$$

\frac{-90}{72} ulushini 18 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x-\frac{16}{-\frac{5}{4}\times 16}=6\left(-\frac{1}{3}\right)$$

-\frac{5}{4}\times 16 ni yagona kasrga aylantiring.

$$x-\frac{16}{\frac{-5\times 16}{4}}=6\left(-\frac{1}{3}\right)$$

-80 hosil qilish uchun -5 va 16 ni ko'paytirish.

$$x-\frac{16}{\frac{-80}{4}}=6\left(-\frac{1}{3}\right)$$

-20 ni olish uchun -80 ni 4 ga bo‘ling.

$$x-\frac{16}{-20}=6\left(-\frac{1}{3}\right)$$

\frac{16}{-20} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x-\left(-\frac{4}{5}\right)=6\left(-\frac{1}{3}\right)$$

-\frac{4}{5} ning teskarisi \frac{4}{5} ga teng.

$$x+\frac{4}{5}=6\left(-\frac{1}{3}\right)$$

6\left(-\frac{1}{3}\right) ni yagona kasrga aylantiring.

$$x+\frac{4}{5}=\frac{6\left(-1\right)}{3}$$

-6 hosil qilish uchun 6 va -1 ni ko'paytirish.

$$x+\frac{4}{5}=\frac{-6}{3}$$

-2 ni olish uchun -6 ni 3 ga bo‘ling.

$$x+\frac{4}{5}=-2$$

Ikkala tarafdan \frac{4}{5} ni ayirish.

$$x=-2-\frac{4}{5}$$

-2 ni -\frac{10}{5} kasrga o‘giring.

$$x=-\frac{10}{5}-\frac{4}{5}$$

-\frac{10}{5} va \frac{4}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$x=\frac{-10-4}{5}$$

-14 olish uchun -10 dan 4 ni ayirish.

$$x=-\frac{14}{5}$$