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

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

x uchun yechish

$$x=\frac{1}{2}=0,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 2x ni ayirish.

$$\frac{1}{3}x+\frac{5}{6}-2x=0$$

-\frac{5}{3}x ni olish uchun \frac{1}{3}x va -2x ni birlashtirish.

$$-\frac{5}{3}x+\frac{5}{6}=0$$

Ikkala tarafdan \frac{5}{6} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

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

Ikki tarafini -\frac{3}{5} va teskari kasri -\frac{5}{3} ga ko‘paytiring.

$$x=-\frac{5}{6}\left(-\frac{3}{5}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{5}{6} ni -\frac{3}{5} ga ko‘paytiring.

$$x=\frac{-5\left(-3\right)}{6\times 5}$$

\frac{-5\left(-3\right)}{6\times 5} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{15}{30}$$

\frac{15}{30} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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