1000/x12=1600/x+3 eching

$$\frac{ 1000 }{ x } 12 = \frac{ 1600 }{ x+3 }$$

x uchun yechish

$$x = -\frac{45}{13} = -3\frac{6}{13} \approx -3,461538462$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -3,0 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x\left(x+3\right) ga, x,x+3 ning eng kichik karralisiga ko‘paytiring.

$$\left(x+3\right)\times 1000\times 12=x\times 1600$$

12000 hosil qilish uchun 1000 va 12 ni ko'paytirish.

$$\left(x+3\right)\times 12000=x\times 1600$$

x+3 ga 12000 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12000x+36000=x\times 1600$$

Ikkala tarafdan x\times 1600 ni ayirish.

$$12000x+36000-x\times 1600=0$$

10400x ni olish uchun 12000x va -x\times 1600 ni birlashtirish.

$$10400x+36000=0$$

Ikkala tarafdan 36000 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$10400x=-36000$$

Ikki tarafini 10400 ga bo‘ling.

$$x=\frac{-36000}{10400}$$

\frac{-36000}{10400} ulushini 800 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{45}{13}$$