3(2/3*1/6)-3/4(2x+18)=-4 eching

$$3 ( \frac { 2 } { 3 } \times \frac { 1 } { 6 } ) - \frac { 3 } { 4 } ( 2 x + 18 ) = - 4$$

x uchun yechish

$$x = -\frac{55}{9} = -6\frac{1}{9} \approx -6,111111111$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3 va 3 ni qisqartiring.

$$2\times \frac{1}{6}-\frac{3}{4}\left(2x+18\right)=-4$$

\frac{2}{6} hosil qilish uchun 2 va \frac{1}{6} ni ko'paytirish.

$$\frac{2}{6}-\frac{3}{4}\left(2x+18\right)=-4$$

\frac{2}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{3}-\frac{3}{4}\left(2x+18\right)=-4$$

-\frac{3}{4} ga 2x+18 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{3}-\frac{3}{4}\times 2x-\frac{3}{4}\times 18=-4$$

-\frac{3}{4}\times 2 ni yagona kasrga aylantiring.

$$\frac{1}{3}+\frac{-3\times 2}{4}x-\frac{3}{4}\times 18=-4$$

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

$$\frac{1}{3}+\frac{-6}{4}x-\frac{3}{4}\times 18=-4$$

\frac{-6}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{3}-\frac{3}{2}x-\frac{3}{4}\times 18=-4$$

-\frac{3}{4}\times 18 ni yagona kasrga aylantiring.

$$\frac{1}{3}-\frac{3}{2}x+\frac{-3\times 18}{4}=-4$$

-54 hosil qilish uchun -3 va 18 ni ko'paytirish.

$$\frac{1}{3}-\frac{3}{2}x+\frac{-54}{4}=-4$$

\frac{-54}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{3}-\frac{3}{2}x-\frac{27}{2}=-4$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{3} va \frac{27}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2}{6}-\frac{3}{2}x-\frac{81}{6}=-4$$

\frac{2}{6} va \frac{81}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2-81}{6}-\frac{3}{2}x=-4$$

-79 olish uchun 2 dan 81 ni ayirish.

$$-\frac{79}{6}-\frac{3}{2}x=-4$$

\frac{79}{6} ni ikki tarafga qo’shing.

$$-\frac{3}{2}x=-4+\frac{79}{6}$$

-4 ni -\frac{24}{6} kasrga o‘giring.

$$-\frac{3}{2}x=-\frac{24}{6}+\frac{79}{6}$$

-\frac{24}{6} va \frac{79}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{3}{2}x=\frac{-24+79}{6}$$

55 olish uchun -24 va 79'ni qo'shing.

$$-\frac{3}{2}x=\frac{55}{6}$$

Ikki tarafini -\frac{2}{3} va teskari kasri -\frac{3}{2} ga ko‘paytiring.

$$x=\frac{55}{6}\left(-\frac{2}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{55}{6} ni -\frac{2}{3} ga ko‘paytiring.

$$x=\frac{55\left(-2\right)}{6\times 3}$$

\frac{55\left(-2\right)}{6\times 3} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{-110}{18}$$

\frac{-110}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{55}{9}$$