x+1/5+2x-3/6=1quad eching

$$\frac { x + 1 } { 5 } + \frac { 2 x - 3 } { 6 } = 1 \quad$$

x uchun yechish

$$x = \frac{39}{16} = 2\frac{7}{16} = 2,4375$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 30 ga, 5,6 ning eng kichik karralisiga ko‘paytiring.

$$6\left(x+1\right)+5\left(2x-3\right)=30$$

6 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x+6+5\left(2x-3\right)=30$$

5 ga 2x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x+6+10x-15=30$$

16x ni olish uchun 6x va 10x ni birlashtirish.

$$16x+6-15=30$$

-9 olish uchun 6 dan 15 ni ayirish.

$$16x-9=30$$

9 ni ikki tarafga qo’shing.

$$16x=30+9$$

39 olish uchun 30 va 9'ni qo'shing.

$$16x=39$$

Ikki tarafini 16 ga bo‘ling.

$$x=\frac{39}{16}$$