2a+7(-16/9)=8 eching

$$2 a + 7 ( \frac { - 16 } { 9 } ) = 8$$

a uchun yechish

$$a = \frac{92}{9} = 10\frac{2}{9} \approx 10,222222222$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{-16}{9} kasri manfiy belgini olib tashlash bilan -\frac{16}{9} sifatida qayta yozilishi mumkin.

$$2a+7\left(-\frac{16}{9}\right)=8$$

7\left(-\frac{16}{9}\right) ni yagona kasrga aylantiring.

$$2a+\frac{7\left(-16\right)}{9}=8$$

-112 hosil qilish uchun 7 va -16 ni ko'paytirish.

$$2a+\frac{-112}{9}=8$$

\frac{-112}{9} kasri manfiy belgini olib tashlash bilan -\frac{112}{9} sifatida qayta yozilishi mumkin.

$$2a-\frac{112}{9}=8$$

\frac{112}{9} ni ikki tarafga qo’shing.

$$2a=8+\frac{112}{9}$$

8 ni \frac{72}{9} kasrga o‘giring.

$$2a=\frac{72}{9}+\frac{112}{9}$$

\frac{72}{9} va \frac{112}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$2a=\frac{72+112}{9}$$

184 olish uchun 72 va 112'ni qo'shing.

$$2a=\frac{184}{9}$$

Ikki tarafini 2 ga bo‘ling.

$$a=\frac{\frac{184}{9}}{2}$$

\frac{\frac{184}{9}}{2} ni yagona kasrga aylantiring.

$$a=\frac{184}{9\times 2}$$

18 hosil qilish uchun 9 va 2 ni ko'paytirish.

$$a=\frac{184}{18}$$

\frac{184}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$a=\frac{92}{9}$$