2-x-102/90=x eching

$$2 - x - \frac { 102 } { 90 } = x$$

x uchun yechish

$$x=\frac{13}{30}\approx 0,433333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{102}{90} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$2-x-\frac{17}{15}=x$$

2 ni \frac{30}{15} kasrga o‘giring.

$$\frac{30}{15}-x-\frac{17}{15}=x$$

\frac{30}{15} va \frac{17}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{30-17}{15}-x=x$$

13 olish uchun 30 dan 17 ni ayirish.

$$\frac{13}{15}-x=x$$

Ikkala tarafdan x ni ayirish.

$$\frac{13}{15}-x-x=0$$

-2x ni olish uchun -x va -x ni birlashtirish.

$$\frac{13}{15}-2x=0$$

Ikkala tarafdan \frac{13}{15} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-2x=-\frac{13}{15}$$

Ikki tarafini -2 ga bo‘ling.

$$x=\frac{-\frac{13}{15}}{-2}$$

\frac{-\frac{13}{15}}{-2} ni yagona kasrga aylantiring.

$$x=\frac{-13}{15\left(-2\right)}$$

-30 hosil qilish uchun 15 va -2 ni ko'paytirish.

$$x=\frac{-13}{-30}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-13}{-30} kasrini \frac{13}{30} ga soddalashtirish mumkin.

$$x=\frac{13}{30}$$