3x+1/4+-6x+10/6=-5x-1/2 eching

$$\frac { 3 x + 1 } { 4 } + \frac { - 6 x + 10 } { 6 } = \frac { - 5 x - 1 } { 2 }$$

x uchun yechish

$$x = -\frac{29}{27} = -1\frac{2}{27} \approx -1,074074074$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 4,6,2 ning eng kichik karralisiga ko‘paytiring.

$$3\left(3x+1\right)+2\left(-6x+10\right)=6\left(-5x-1\right)$$

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

$$9x+3+2\left(-6x+10\right)=6\left(-5x-1\right)$$

2 ga -6x+10 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9x+3-12x+20=6\left(-5x-1\right)$$

-3x ni olish uchun 9x va -12x ni birlashtirish.

$$-3x+3+20=6\left(-5x-1\right)$$

23 olish uchun 3 va 20'ni qo'shing.

$$-3x+23=6\left(-5x-1\right)$$

6 ga -5x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-3x+23=-30x-6$$

30x ni ikki tarafga qo’shing.

$$-3x+23+30x=-6$$

27x ni olish uchun -3x va 30x ni birlashtirish.

$$27x+23=-6$$

Ikkala tarafdan 23 ni ayirish.

$$27x=-6-23$$

-29 olish uchun -6 dan 23 ni ayirish.

$$27x=-29$$

Ikki tarafini 27 ga bo‘ling.

$$x=\frac{-29}{27}$$

\frac{-29}{27} kasri manfiy belgini olib tashlash bilan -\frac{29}{27} sifatida qayta yozilishi mumkin.

$$x=-\frac{29}{27}$$