1-2x-1/6=3x/8 eching

$$1 - \frac { 2 x - 1 } { 6 } = \frac { 3 x } { 8 }$$

x uchun yechish

$$x = \frac{28}{17} = 1\frac{11}{17} \approx 1,647058824$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 24 ga, 6,8 ning eng kichik karralisiga ko‘paytiring.

$$24-4\left(2x-1\right)=3\times 3x$$

-4 ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$24-8x+4=3\times 3x$$

28 olish uchun 24 va 4'ni qo'shing.

$$28-8x=3\times 3x$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$28-8x=9x$$

Ikkala tarafdan 9x ni ayirish.

$$28-8x-9x=0$$

-17x ni olish uchun -8x va -9x ni birlashtirish.

$$28-17x=0$$

Ikkala tarafdan 28 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-17x=-28$$

Ikki tarafini -17 ga bo‘ling.

$$x=\frac{-28}{-17}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-28}{-17} kasrini \frac{28}{17} ga soddalashtirish mumkin.

$$x=\frac{28}{17}$$