11/2(x-2/3)=02 eching

$$1 \frac{ 1 }{ 2 } (x- \frac{ 2 }{ 3 } )=02$$

x uchun yechish

$$x=\frac{2}{3}\approx 0,666666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 6 ga, 2,3 ning eng kichik karralisiga ko‘paytiring.

$$3\left(1\times 2+1\right)\left(x-\frac{2}{3}\right)=0\times 2$$

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$3\left(2+1\right)\left(x-\frac{2}{3}\right)=0\times 2$$

3 olish uchun 2 va 1'ni qo'shing.

$$3\times 3\left(x-\frac{2}{3}\right)=0\times 2$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$9\left(x-\frac{2}{3}\right)=0\times 2$$

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

$$9x+9\left(-\frac{2}{3}\right)=0\times 2$$

9\left(-\frac{2}{3}\right) ni yagona kasrga aylantiring.

$$9x+\frac{9\left(-2\right)}{3}=0\times 2$$

-18 hosil qilish uchun 9 va -2 ni ko'paytirish.

$$9x+\frac{-18}{3}=0\times 2$$

-6 ni olish uchun -18 ni 3 ga bo‘ling.

$$9x-6=0\times 2$$

0 hosil qilish uchun 0 va 2 ni ko'paytirish.

$$9x-6=0$$

6 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$9x=6$$

Ikki tarafini 9 ga bo‘ling.

$$x=\frac{6}{9}$$

\frac{6}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{2}{3}$$