3(y-6)+4(-4-y)=-12(y-3)+4 eching

$$3(y-6)+4(-4-y)=-12(y-3)+4$$

y uchun yechish

$$y = \frac{74}{11} = 6\frac{8}{11} \approx 6,727272727$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3 ga y-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3y-18+4\left(-4-y\right)=-12\left(y-3\right)+4$$

4 ga -4-y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3y-18-16-4y=-12\left(y-3\right)+4$$

-34 olish uchun -18 dan 16 ni ayirish.

$$3y-34-4y=-12\left(y-3\right)+4$$

-y ni olish uchun 3y va -4y ni birlashtirish.

$$-y-34=-12\left(y-3\right)+4$$

-12 ga y-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-y-34=-12y+36+4$$

40 olish uchun 36 va 4'ni qo'shing.

$$-y-34=-12y+40$$

12y ni ikki tarafga qo’shing.

$$-y-34+12y=40$$

11y ni olish uchun -y va 12y ni birlashtirish.

$$11y-34=40$$

34 ni ikki tarafga qo’shing.

$$11y=40+34$$

74 olish uchun 40 va 34'ni qo'shing.

$$11y=74$$

Ikki tarafini 11 ga bo‘ling.

$$y=\frac{74}{11}$$