15+6-3b/8-b=6 eching

$$15 + \frac { 6 - 3 b } { 8 - b } = 6$$

b uchun yechish

$$b = \frac{13}{2} = 6\frac{1}{2} = 6,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

b qiymati 8 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini -b+8 ga ko'paytirish.

$$\left(-b+8\right)\times 15+6-3b=6\left(-b+8\right)$$

-b+8 ga 15 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-15b+120+6-3b=6\left(-b+8\right)$$

126 olish uchun 120 va 6'ni qo'shing.

$$-15b+126-3b=6\left(-b+8\right)$$

-18b ni olish uchun -15b va -3b ni birlashtirish.

$$-18b+126=6\left(-b+8\right)$$

6 ga -b+8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-18b+126=-6b+48$$

6b ni ikki tarafga qo’shing.

$$-18b+126+6b=48$$

-12b ni olish uchun -18b va 6b ni birlashtirish.

$$-12b+126=48$$

Ikkala tarafdan 126 ni ayirish.

$$-12b=48-126$$

-78 olish uchun 48 dan 126 ni ayirish.

$$-12b=-78$$

Ikki tarafini -12 ga bo‘ling.

$$b=\frac{-78}{-12}$$

\frac{-78}{-12} ulushini -6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$b=\frac{13}{2}$$