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

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

x uchun yechish

$$x = \frac{31}{9} = 3\frac{4}{9} \approx 3,444444444$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{3} ni \frac{1}{6} ga ko‘paytiring.

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

\frac{4\times 1}{3\times 6} kasridagi ko‘paytirishlarni bajaring.

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

\frac{4}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

2 va 9 ning eng kichik umumiy karralisi 18 ga teng. \frac{1}{2} va \frac{2}{9} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{2}x+\frac{9}{18}-\frac{4}{18}=2$$

\frac{9}{18} va \frac{4}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{2}x+\frac{9-4}{18}=2$$

5 olish uchun 9 dan 4 ni ayirish.

$$\frac{1}{2}x+\frac{5}{18}=2$$

Ikkala tarafdan \frac{5}{18} ni ayirish.

$$\frac{1}{2}x=2-\frac{5}{18}$$

2 ni \frac{36}{18} kasrga o‘giring.

$$\frac{1}{2}x=\frac{36}{18}-\frac{5}{18}$$

\frac{36}{18} va \frac{5}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{2}x=\frac{36-5}{18}$$

31 olish uchun 36 dan 5 ni ayirish.

$$\frac{1}{2}x=\frac{31}{18}$$

Ikki tarafini 2 va teskari kasri \frac{1}{2} ga ko‘paytiring.

$$x=\frac{31}{18}\times 2$$

\frac{31}{18}\times 2 ni yagona kasrga aylantiring.

$$x=\frac{31\times 2}{18}$$

62 hosil qilish uchun 31 va 2 ni ko'paytirish.

$$x=\frac{62}{18}$$

\frac{62}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{31}{9}$$