6-x/4-3x+10/3=2 eching

$$\frac { 6 - x } { 4 } - \frac { 3 x + 10 } { 3 } = 2$$

x uchun yechish

$$x = -\frac{46}{15} = -3\frac{1}{15} \approx -3,066666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 4,3 ning eng kichik karralisiga ko‘paytiring.

$$3\left(6-x\right)-4\left(3x+10\right)=24$$

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

$$18-3x-4\left(3x+10\right)=24$$

-4 ga 3x+10 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$18-3x-12x-40=24$$

-15x ni olish uchun -3x va -12x ni birlashtirish.

$$18-15x-40=24$$

-22 olish uchun 18 dan 40 ni ayirish.

$$-22-15x=24$$

22 ni ikki tarafga qo’shing.

$$-15x=24+22$$

46 olish uchun 24 va 22'ni qo'shing.

$$-15x=46$$

Ikki tarafini -15 ga bo‘ling.

$$x=\frac{46}{-15}$$

\frac{46}{-15} kasri manfiy belgini olib tashlash bilan -\frac{46}{15} sifatida qayta yozilishi mumkin.

$$x=-\frac{46}{15}$$