6+x/100+x=16/100 eching

$$\frac { 6 + x } { 100 + x } = \frac { 16 } { 100 }$$

x uchun yechish

$$x = \frac{250}{21} = 11\frac{19}{21} \approx 11,904761905$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -100 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 100\left(x+100\right) ga, 100+x,100 ning eng kichik karralisiga ko‘paytiring.

$$100\left(6+x\right)=\left(x+100\right)\times 16$$

100 ga 6+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$600+100x=\left(x+100\right)\times 16$$

x+100 ga 16 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$600+100x=16x+1600$$

Ikkala tarafdan 16x ni ayirish.

$$600+100x-16x=1600$$

84x ni olish uchun 100x va -16x ni birlashtirish.

$$600+84x=1600$$

Ikkala tarafdan 600 ni ayirish.

$$84x=1600-600$$

1000 olish uchun 1600 dan 600 ni ayirish.

$$84x=1000$$

Ikki tarafini 84 ga bo‘ling.

$$x=\frac{1000}{84}$$

\frac{1000}{84} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{250}{21}$$