2/3x-5/6=-1/3 eching

$$\frac { 2 } { 3 } x - \frac { 5 } { 6 } = - \frac { 1 } { 3 }$$

x uchun yechish

$$x=\frac{3}{4}=0,75$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{5}{6} ni ikki tarafga qo’shing.

$$\frac{2}{3}x=-\frac{1}{3}+\frac{5}{6}$$

3 va 6 ning eng kichik umumiy karralisi 6 ga teng. -\frac{1}{3} va \frac{5}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2}{3}x=-\frac{2}{6}+\frac{5}{6}$$

-\frac{2}{6} va \frac{5}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2}{3}x=\frac{-2+5}{6}$$

3 olish uchun -2 va 5'ni qo'shing.

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

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

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

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

$$x=\frac{1}{2}\times \frac{3}{2}$$

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

$$x=\frac{1\times 3}{2\times 2}$$

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

$$x=\frac{3}{4}$$