y+1/2+3y-6/3-8-y/6=1 eching

$$\frac { y + 1 } { 2 } + \frac { 3 y - 6 } { 3 } - \frac { 8 - y } { 6 } = 1$$

y uchun yechish

$$y = \frac{23}{10} = 2\frac{3}{10} = 2,3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3\left(y+1\right)+2\left(3y-6\right)-\left(8-y\right)=6$$

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

$$3y+3+2\left(3y-6\right)-\left(8-y\right)=6$$

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

$$3y+3+6y-12-\left(8-y\right)=6$$

9y ni olish uchun 3y va 6y ni birlashtirish.

$$9y+3-12-\left(8-y\right)=6$$

-9 olish uchun 3 dan 12 ni ayirish.

$$9y-9-\left(8-y\right)=6$$

8-y teskarisini topish uchun har birining teskarisini toping.

$$9y-9-8-\left(-y\right)=6$$

-y ning teskarisi y ga teng.

$$9y-9-8+y=6$$

-17 olish uchun -9 dan 8 ni ayirish.

$$9y-17+y=6$$

10y ni olish uchun 9y va y ni birlashtirish.

$$10y-17=6$$

17 ni ikki tarafga qo’shing.

$$10y=6+17$$

23 olish uchun 6 va 17'ni qo'shing.

$$10y=23$$

Ikki tarafini 10 ga bo‘ling.

$$y=\frac{23}{10}$$