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

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

x uchun yechish

$$x=-2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan x ni ayirish.

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

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

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

\frac{1}{6} ni ikki tarafga qo’shing.

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

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

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

\frac{3}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

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

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

\frac{4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Ikki tarafini -3 va teskari kasri -\frac{1}{3} ga ko‘paytiring.

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

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

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

-6 hosil qilish uchun 2 va -3 ni ko'paytirish.

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

-2 ni olish uchun -6 ni 3 ga bo‘ling.

$$x=-2$$