a+1/2-4a+1/3=4 eching

$$\frac { a + 1 } { 2 } - \frac { 4 a + 1 } { 3 } = 4$$

a uchun yechish

$$a = -\frac{23}{5} = -4\frac{3}{5} = -4,6$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 6 ga, 2,3 ning eng kichik karralisiga ko‘paytiring.

$$3\left(a+1\right)-2\left(4a+1\right)=24$$

3 ga a+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3a+3-2\left(4a+1\right)=24$$

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

$$3a+3-8a-2=24$$

-5a ni olish uchun 3a va -8a ni birlashtirish.

$$-5a+3-2=24$$

1 olish uchun 3 dan 2 ni ayirish.

$$-5a+1=24$$

Ikkala tarafdan 1 ni ayirish.

$$-5a=24-1$$

23 olish uchun 24 dan 1 ni ayirish.

$$-5a=23$$

Ikki tarafini -5 ga bo‘ling.

$$a=\frac{23}{-5}$$

\frac{23}{-5} kasri manfiy belgini olib tashlash bilan -\frac{23}{5} sifatida qayta yozilishi mumkin.

$$a=-\frac{23}{5}$$