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

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

x uchun yechish

$$x=-11$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

-\frac{1}{3} hosil qilish uchun \frac{1}{3} va -1 ni ko'paytirish.

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

1 ni \frac{3}{3} kasrga o‘giring.

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

-\frac{1}{3} va \frac{3}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

-4 olish uchun -1 dan 3 ni ayirish.

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

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

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

Ikkala tarafdan \frac{1}{2}x ni ayirish.

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

-\frac{1}{6}x ni olish uchun \frac{1}{3}x va -\frac{1}{2}x ni birlashtirish.

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

\frac{4}{3} ni ikki tarafga qo’shing.

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

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{2} va \frac{4}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{1}{6}x=\frac{3}{6}+\frac{8}{6}$$

\frac{3}{6} va \frac{8}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{1}{6}x=\frac{3+8}{6}$$

11 olish uchun 3 va 8'ni qo'shing.

$$-\frac{1}{6}x=\frac{11}{6}$$

Ikki tarafini -6 va teskari kasri -\frac{1}{6} ga ko‘paytiring.

$$x=\frac{11}{6}\left(-6\right)$$

\frac{11}{6}\left(-6\right) ni yagona kasrga aylantiring.

$$x=\frac{11\left(-6\right)}{6}$$

-66 hosil qilish uchun 11 va -6 ni ko'paytirish.

$$x=\frac{-66}{6}$$

-11 ni olish uchun -66 ni 6 ga bo‘ling.

$$x=-11$$