22*670left(x-91right)=100*4184left(900-xright) eching

$$22 \times 670 \left( x-91 \right) = 100 \cdot 4184 \left( 900-x \right)$$

x uchun yechish

$$x = \frac{18895067}{21657} = 872\frac{10163}{21657} \approx 872,469270905$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

14740 hosil qilish uchun 22 va 670 ni ko'paytirish.

$$14740\left(x-91\right)=100\times 4184\left(900-x\right)$$

14740 ga x-91 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$14740x-1341340=100\times 4184\left(900-x\right)$$

418400 hosil qilish uchun 100 va 4184 ni ko'paytirish.

$$14740x-1341340=418400\left(900-x\right)$$

418400 ga 900-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$14740x-1341340=376560000-418400x$$

418400x ni ikki tarafga qo’shing.

$$14740x-1341340+418400x=376560000$$

433140x ni olish uchun 14740x va 418400x ni birlashtirish.

$$433140x-1341340=376560000$$

1341340 ni ikki tarafga qo’shing.

$$433140x=376560000+1341340$$

377901340 olish uchun 376560000 va 1341340'ni qo'shing.

$$433140x=377901340$$

Ikki tarafini 433140 ga bo‘ling.

$$x=\frac{377901340}{433140}$$

\frac{377901340}{433140} ulushini 20 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{18895067}{21657}$$