x+4/x+9=5 eching

$$\frac { x + 4 } { x + 9 } = 5$$

x uchun yechish

$$x = -\frac{41}{4} = -10\frac{1}{4} = -10,25$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -9 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x+9 ga ko'paytirish.

$$x+4=5\left(x+9\right)$$

5 ga x+9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x+4=5x+45$$

Ikkala tarafdan 5x ni ayirish.

$$x+4-5x=45$$

-4x ni olish uchun x va -5x ni birlashtirish.

$$-4x+4=45$$

Ikkala tarafdan 4 ni ayirish.

$$-4x=45-4$$

41 olish uchun 45 dan 4 ni ayirish.

$$-4x=41$$

Ikki tarafini -4 ga bo‘ling.

$$x=\frac{41}{-4}$$

\frac{41}{-4} kasri manfiy belgini olib tashlash bilan -\frac{41}{4} sifatida qayta yozilishi mumkin.

$$x=-\frac{41}{4}$$