(x-21/3*(-31/7)*(-22/11)/1frac{1{9}*(-1frac{1}{8})*1.6}):(-frac{1}{3})=6 eching

$$( x - \frac { 2 \frac { 1 } { 3 } \cdot ( - 3 \frac { 1 } { 7 } ) \cdot ( - 2 \frac { 2 } { 11 } ) } { 1 \frac { 1 } { 9 } \cdot ( - 1 \frac { 1 } { 8 } ) \cdot 1.6 } ) : ( - \frac { 1 } { 3 } ) = 6$$

x uchun yechish

$$x=-10$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

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

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

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

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

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

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

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

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

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

Surat va maxrajdagi ikkala 7 ni qisqartiring.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

1,6 o‘nlik raqamni uning \frac{16}{10} kasrga o‘giring. \frac{16}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x-\frac{16}{-\frac{5}{4}\times \frac{8}{5}}=6\left(-\frac{1}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{5}{4} ni \frac{8}{5} ga ko‘paytiring.

$$x-\frac{16}{\frac{-5\times 8}{4\times 5}}=6\left(-\frac{1}{3}\right)$$

\frac{-5\times 8}{4\times 5} kasridagi ko‘paytirishlarni bajaring.

$$x-\frac{16}{\frac{-40}{20}}=6\left(-\frac{1}{3}\right)$$

-2 ni olish uchun -40 ni 20 ga bo‘ling.

$$x-\frac{16}{-2}=6\left(-\frac{1}{3}\right)$$

-8 ni olish uchun 16 ni -2 ga bo‘ling.

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

-8 ning teskarisi 8 ga teng.

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

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

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

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

$$x+8=\frac{-6}{3}$$

-2 ni olish uchun -6 ni 3 ga bo‘ling.

$$x+8=-2$$

Ikkala tarafdan 8 ni ayirish.

$$x=-2-8$$

-10 olish uchun -2 dan 8 ni ayirish.

$$x=-10$$