2c-1/2+c/4=c+3/6 eching

$$\frac { 2 c - 1 } { 2 } + \frac { c } { 4 } = \frac { c + 3 } { 6 }$$

c uchun yechish

$$c=\frac{12}{13}\approx 0,923076923$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 2,4,6 ning eng kichik karralisiga ko‘paytiring.

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

6 ga 2c-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12c-6+3c=2\left(c+3\right)$$

15c ni olish uchun 12c va 3c ni birlashtirish.

$$15c-6=2\left(c+3\right)$$

2 ga c+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$15c-6=2c+6$$

Ikkala tarafdan 2c ni ayirish.

$$15c-6-2c=6$$

13c ni olish uchun 15c va -2c ni birlashtirish.

$$13c-6=6$$

6 ni ikki tarafga qo’shing.

$$13c=6+6$$

12 olish uchun 6 va 6'ni qo'shing.

$$13c=12$$

Ikki tarafini 13 ga bo‘ling.

$$c=\frac{12}{13}$$