3x-11/4-3-4x/4=x+6/9 eching

$$\frac { 3 x - 11 } { 4 } - \frac { 3 - 4 x } { 4 } = \frac { x + 6 } { 9 }$$

x uchun yechish

$$x = \frac{150}{59} = 2\frac{32}{59} \approx 2,542372881$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 36 ga, 4,9 ning eng kichik karralisiga ko‘paytiring.

$$9\left(3x-11\right)-9\left(3-4x\right)=4\left(x+6\right)$$

9 ga 3x-11 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$27x-99-9\left(3-4x\right)=4\left(x+6\right)$$

-9 ga 3-4x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$27x-99-27+36x=4\left(x+6\right)$$

-126 olish uchun -99 dan 27 ni ayirish.

$$27x-126+36x=4\left(x+6\right)$$

63x ni olish uchun 27x va 36x ni birlashtirish.

$$63x-126=4\left(x+6\right)$$

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

$$63x-126=4x+24$$

Ikkala tarafdan 4x ni ayirish.

$$63x-126-4x=24$$

59x ni olish uchun 63x va -4x ni birlashtirish.

$$59x-126=24$$

126 ni ikki tarafga qo’shing.

$$59x=24+126$$

150 olish uchun 24 va 126'ni qo'shing.

$$59x=150$$

Ikki tarafini 59 ga bo‘ling.

$$x=\frac{150}{59}$$