2/3(x+1/8)=1/6x eching

$$\frac { 2 } { 3 } ( x + \frac { 1 } { 8 } ) = \frac { 1 } { 6 } x$$

x uchun yechish

$$x=-\frac{1}{6}\approx -0,166666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{2}{3} ga x+\frac{1}{8} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{2}{3}x+\frac{2}{3}\times \frac{1}{8}=\frac{1}{6}x$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{3} ni \frac{1}{8} ga ko‘paytiring.

$$\frac{2}{3}x+\frac{2\times 1}{3\times 8}=\frac{1}{6}x$$

\frac{2\times 1}{3\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{2}{3}x+\frac{2}{24}=\frac{1}{6}x$$

\frac{2}{24} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{3}x+\frac{1}{12}=\frac{1}{6}x$$

Ikkala tarafdan \frac{1}{6}x ni ayirish.

$$\frac{2}{3}x+\frac{1}{12}-\frac{1}{6}x=0$$

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

$$\frac{1}{2}x+\frac{1}{12}=0$$

Ikkala tarafdan \frac{1}{12} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$\frac{1}{2}x=-\frac{1}{12}$$

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

$$x=-\frac{1}{12}\times 2$$

-\frac{1}{12}\times 2 ni yagona kasrga aylantiring.

$$x=\frac{-2}{12}$$

\frac{-2}{12} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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