9/k-7=6/k eching

$$\frac { 9 } { k - 7 } = \frac { 6 } { k }$$

k uchun yechish

$$k=-14$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

k qiymati 0,7 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini k\left(k-7\right) ga, k-7,k ning eng kichik karralisiga ko‘paytiring.

$$k\times 9=\left(k-7\right)\times 6$$

k-7 ga 6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$k\times 9=6k-42$$

Ikkala tarafdan 6k ni ayirish.

$$k\times 9-6k=-42$$

3k ni olish uchun k\times 9 va -6k ni birlashtirish.

$$3k=-42$$

Ikki tarafini 3 ga bo‘ling.

$$k=\frac{-42}{3}$$

-14 ni olish uchun -42 ni 3 ga bo‘ling.

$$k=-14$$