8/v-1=-4/v-7 eching

$$\frac { 8 } { v - 1 } = \frac { - 4 } { v - 7 }$$

v uchun yechish

$$v=5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

v qiymati 1,7 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(v-7\right)\left(v-1\right) ga, v-1,v-7 ning eng kichik karralisiga ko‘paytiring.

$$\left(v-7\right)\times 8=\left(v-1\right)\left(-4\right)$$

v-7 ga 8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8v-56=\left(v-1\right)\left(-4\right)$$

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

$$8v-56=-4v+4$$

4v ni ikki tarafga qo’shing.

$$8v-56+4v=4$$

12v ni olish uchun 8v va 4v ni birlashtirish.

$$12v-56=4$$

56 ni ikki tarafga qo’shing.

$$12v=4+56$$

60 olish uchun 4 va 56'ni qo'shing.

$$12v=60$$

Ikki tarafini 12 ga bo‘ling.

$$v=\frac{60}{12}$$

5 ni olish uchun 60 ni 12 ga bo‘ling.

$$v=5$$