1/2x+2/3=1/6 eching

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

x uchun yechish

$$x=-1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan \frac{2}{3} ni ayirish.

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

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

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

\frac{1}{6} va \frac{4}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

-3 olish uchun 1 dan 4 ni ayirish.

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

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

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

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

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

2 va 2 ni qisqartiring.

$$x=-1$$