603/23+x=861/108+x eching

$$\frac{ 603 }{ 23+x } = \frac{ 861 }{ 108+x }$$

x uchun yechish

$$x = \frac{15107}{86} = 175\frac{57}{86} \approx 175,662790698$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -108,-23 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(x+23\right)\left(x+108\right) ga, 23+x,108+x ning eng kichik karralisiga ko‘paytiring.

$$\left(x+108\right)\times 603=\left(x+23\right)\times 861$$

x+108 ga 603 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$603x+65124=\left(x+23\right)\times 861$$

x+23 ga 861 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$603x+65124=861x+19803$$

Ikkala tarafdan 861x ni ayirish.

$$603x+65124-861x=19803$$

-258x ni olish uchun 603x va -861x ni birlashtirish.

$$-258x+65124=19803$$

Ikkala tarafdan 65124 ni ayirish.

$$-258x=19803-65124$$

-45321 olish uchun 19803 dan 65124 ni ayirish.

$$-258x=-45321$$

Ikki tarafini -258 ga bo‘ling.

$$x=\frac{-45321}{-258}$$

\frac{-45321}{-258} ulushini -3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{15107}{86}$$