6(3t+7)=2(6t-10)-8 eching

$$6 ( 3 t + 7 ) = 2 ( 6 t - 10 ) - 8$$

t uchun yechish

$$t = -\frac{35}{3} = -11\frac{2}{3} \approx -11,666666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

6 ga 3t+7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$18t+42=2\left(6t-10\right)-8$$

2 ga 6t-10 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$18t+42=12t-20-8$$

-28 olish uchun -20 dan 8 ni ayirish.

$$18t+42=12t-28$$

Ikkala tarafdan 12t ni ayirish.

$$18t+42-12t=-28$$

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

$$6t+42=-28$$

Ikkala tarafdan 42 ni ayirish.

$$6t=-28-42$$

-70 olish uchun -28 dan 42 ni ayirish.

$$6t=-70$$

Ikki tarafini 6 ga bo‘ling.

$$t=\frac{-70}{6}$$

\frac{-70}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$t=-\frac{35}{3}$$