(8224-x)*(1+56%)=x eching

$$(8224-x) \times (1+56 \% )=x$$

x uchun yechish

$$x = \frac{10023}{2} = 5011\frac{1}{2} = 5011,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{56}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(8224-x\right)\left(1+\frac{14}{25}\right)=x$$

1 ni \frac{25}{25} kasrga o‘giring.

$$\left(8224-x\right)\left(\frac{25}{25}+\frac{14}{25}\right)=x$$

\frac{25}{25} va \frac{14}{25} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\left(8224-x\right)\times \frac{25+14}{25}=x$$

39 olish uchun 25 va 14'ni qo'shing.

$$\left(8224-x\right)\times \frac{39}{25}=x$$

8224-x ga \frac{39}{25} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8224\times \frac{39}{25}-x\times \frac{39}{25}=x$$

8224\times \frac{39}{25} ni yagona kasrga aylantiring.

$$\frac{8224\times 39}{25}-x\times \frac{39}{25}=x$$

320736 hosil qilish uchun 8224 va 39 ni ko'paytirish.

$$\frac{320736}{25}-x\times \frac{39}{25}=x$$

-\frac{39}{25} hosil qilish uchun -1 va \frac{39}{25} ni ko'paytirish.

$$\frac{320736}{25}-\frac{39}{25}x=x$$

Ikkala tarafdan x ni ayirish.

$$\frac{320736}{25}-\frac{39}{25}x-x=0$$

-\frac{64}{25}x ni olish uchun -\frac{39}{25}x va -x ni birlashtirish.

$$\frac{320736}{25}-\frac{64}{25}x=0$$

Ikkala tarafdan \frac{320736}{25} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-\frac{64}{25}x=-\frac{320736}{25}$$

Ikki tarafini -\frac{25}{64} va teskari kasri -\frac{64}{25} ga ko‘paytiring.

$$x=-\frac{320736}{25}\left(-\frac{25}{64}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{320736}{25} ni -\frac{25}{64} ga ko‘paytiring.

$$x=\frac{-320736\left(-25\right)}{25\times 64}$$

\frac{-320736\left(-25\right)}{25\times 64} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{8018400}{1600}$$

\frac{8018400}{1600} ulushini 800 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{10023}{2}$$