3x-1/x+2=7 eching

$$\frac { 3 x - 1 } { x + 2 } = 7$$

x uchun yechish

$$x = -\frac{15}{4} = -3\frac{3}{4} = -3,75$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -2 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x+2 ga ko'paytirish.

$$3x-1=7\left(x+2\right)$$

7 ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x-1=7x+14$$

Ikkala tarafdan 7x ni ayirish.

$$3x-1-7x=14$$

-4x ni olish uchun 3x va -7x ni birlashtirish.

$$-4x-1=14$$

1 ni ikki tarafga qo’shing.

$$-4x=14+1$$

15 olish uchun 14 va 1'ni qo'shing.

$$-4x=15$$

Ikki tarafini -4 ga bo‘ling.

$$x=\frac{15}{-4}$$

\frac{15}{-4} kasri manfiy belgini olib tashlash bilan -\frac{15}{4} sifatida qayta yozilishi mumkin.

$$x=-\frac{15}{4}$$