9x-1/13-5x-8/4=x+6 eching

$$\frac { 9 x - 1 } { 13 } - \frac { 5 x - 8 } { 4 } = x + 6$$

x uchun yechish

$$x = -\frac{212}{81} = -2\frac{50}{81} \approx -2,617283951$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 52 ga, 13,4 ning eng kichik karralisiga ko‘paytiring.

$$4\left(9x-1\right)-13\left(5x-8\right)=52x+312$$

4 ga 9x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$36x-4-13\left(5x-8\right)=52x+312$$

-13 ga 5x-8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$36x-4-65x+104=52x+312$$

-29x ni olish uchun 36x va -65x ni birlashtirish.

$$-29x-4+104=52x+312$$

100 olish uchun -4 va 104'ni qo'shing.

$$-29x+100=52x+312$$

Ikkala tarafdan 52x ni ayirish.

$$-29x+100-52x=312$$

-81x ni olish uchun -29x va -52x ni birlashtirish.

$$-81x+100=312$$

Ikkala tarafdan 100 ni ayirish.

$$-81x=312-100$$

212 olish uchun 312 dan 100 ni ayirish.

$$-81x=212$$

Ikki tarafini -81 ga bo‘ling.

$$x=\frac{212}{-81}$$

\frac{212}{-81} kasri manfiy belgini olib tashlash bilan -\frac{212}{81} sifatida qayta yozilishi mumkin.

$$x=-\frac{212}{81}$$