2y+5/8+y/6=35+y/12 eching

$$\frac { 2 y + 5 } { 8 } + \frac { y } { 6 } = \frac { 35 + y } { 12 }$$

y uchun yechish

$$y = \frac{55}{8} = 6\frac{7}{8} = 6,875$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 24 ga, 8,6,12 ning eng kichik karralisiga ko‘paytiring.

$$3\left(2y+5\right)+4y=2\left(35+y\right)$$

3 ga 2y+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6y+15+4y=2\left(35+y\right)$$

10y ni olish uchun 6y va 4y ni birlashtirish.

$$10y+15=2\left(35+y\right)$$

2 ga 35+y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10y+15=70+2y$$

Ikkala tarafdan 2y ni ayirish.

$$10y+15-2y=70$$

8y ni olish uchun 10y va -2y ni birlashtirish.

$$8y+15=70$$

Ikkala tarafdan 15 ni ayirish.

$$8y=70-15$$

55 olish uchun 70 dan 15 ni ayirish.

$$8y=55$$

Ikki tarafini 8 ga bo‘ling.

$$y=\frac{55}{8}$$