k+1/3+1=3k+1/2 eching

$$\frac { k + 1 } { 3 } + 1 = \frac { 3 k + 1 } { 2 }$$

k uchun yechish

$$k=\frac{5}{7}\approx 0,714285714$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$2\left(k+1\right)+6=3\left(3k+1\right)$$

2 ga k+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2k+2+6=3\left(3k+1\right)$$

8 olish uchun 2 va 6'ni qo'shing.

$$2k+8=3\left(3k+1\right)$$

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

$$2k+8=9k+3$$

Ikkala tarafdan 9k ni ayirish.

$$2k+8-9k=3$$

-7k ni olish uchun 2k va -9k ni birlashtirish.

$$-7k+8=3$$

Ikkala tarafdan 8 ni ayirish.

$$-7k=3-8$$

-5 olish uchun 3 dan 8 ni ayirish.

$$-7k=-5$$

Ikki tarafini -7 ga bo‘ling.

$$k=\frac{-5}{-7}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-5}{-7} kasrini \frac{5}{7} ga soddalashtirish mumkin.

$$k=\frac{5}{7}$$