14(2t-3)-2(t+2)=10(3t-4) eching

$$14 ( 2 t - 3 ) - 2 ( t + 2 ) = 10 ( 3 t - 4 )$$

t uchun yechish

$$t = -\frac{3}{2} = -1\frac{1}{2} = -1,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

14 ga 2t-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$28t-42-2\left(t+2\right)=10\left(3t-4\right)$$

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

$$28t-42-2t-4=10\left(3t-4\right)$$

26t ni olish uchun 28t va -2t ni birlashtirish.

$$26t-42-4=10\left(3t-4\right)$$

-46 olish uchun -42 dan 4 ni ayirish.

$$26t-46=10\left(3t-4\right)$$

10 ga 3t-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$26t-46=30t-40$$

Ikkala tarafdan 30t ni ayirish.

$$26t-46-30t=-40$$

-4t ni olish uchun 26t va -30t ni birlashtirish.

$$-4t-46=-40$$

46 ni ikki tarafga qo’shing.

$$-4t=-40+46$$

6 olish uchun -40 va 46'ni qo'shing.

$$-4t=6$$

Ikki tarafini -4 ga bo‘ling.

$$t=\frac{6}{-4}$$

\frac{6}{-4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$t=-\frac{3}{2}$$