x-5/100x=(73-x)-7/100(73-x)+1764 eching

$$x- \frac{ 5 }{ 100 } x=(73-x)- \frac{ 7 }{ 100 } (73-x)+1764$$

x uchun yechish

$$x = \frac{183189}{188} = 974\frac{77}{188} \approx 974,409574468$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{5}{100} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x-\frac{1}{20}x=73-x-\frac{7}{100}\left(73-x\right)+1764$$

\frac{19}{20}x ni olish uchun x va -\frac{1}{20}x ni birlashtirish.

$$\frac{19}{20}x=73-x-\frac{7}{100}\left(73-x\right)+1764$$

-\frac{7}{100} ga 73-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{19}{20}x=73-x-\frac{7}{100}\times 73-\frac{7}{100}\left(-1\right)x+1764$$

-\frac{7}{100}\times 73 ni yagona kasrga aylantiring.

$$\frac{19}{20}x=73-x+\frac{-7\times 73}{100}-\frac{7}{100}\left(-1\right)x+1764$$

-511 hosil qilish uchun -7 va 73 ni ko'paytirish.

$$\frac{19}{20}x=73-x+\frac{-511}{100}-\frac{7}{100}\left(-1\right)x+1764$$

\frac{-511}{100} kasri manfiy belgini olib tashlash bilan -\frac{511}{100} sifatida qayta yozilishi mumkin.

$$\frac{19}{20}x=73-x-\frac{511}{100}-\frac{7}{100}\left(-1\right)x+1764$$

\frac{7}{100} hosil qilish uchun -\frac{7}{100} va -1 ni ko'paytirish.

$$\frac{19}{20}x=73-x-\frac{511}{100}+\frac{7}{100}x+1764$$

73 ni \frac{7300}{100} kasrga o‘giring.

$$\frac{19}{20}x=\frac{7300}{100}-x-\frac{511}{100}+\frac{7}{100}x+1764$$

\frac{7300}{100} va \frac{511}{100} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{19}{20}x=\frac{7300-511}{100}-x+\frac{7}{100}x+1764$$

6789 olish uchun 7300 dan 511 ni ayirish.

$$\frac{19}{20}x=\frac{6789}{100}-x+\frac{7}{100}x+1764$$

-\frac{93}{100}x ni olish uchun -x va \frac{7}{100}x ni birlashtirish.

$$\frac{19}{20}x=\frac{6789}{100}-\frac{93}{100}x+1764$$

1764 ni \frac{176400}{100} kasrga o‘giring.

$$\frac{19}{20}x=\frac{6789}{100}-\frac{93}{100}x+\frac{176400}{100}$$

\frac{6789}{100} va \frac{176400}{100} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{19}{20}x=\frac{6789+176400}{100}-\frac{93}{100}x$$

183189 olish uchun 6789 va 176400'ni qo'shing.

$$\frac{19}{20}x=\frac{183189}{100}-\frac{93}{100}x$$

\frac{93}{100}x ni ikki tarafga qo’shing.

$$\frac{19}{20}x+\frac{93}{100}x=\frac{183189}{100}$$

\frac{47}{25}x ni olish uchun \frac{19}{20}x va \frac{93}{100}x ni birlashtirish.

$$\frac{47}{25}x=\frac{183189}{100}$$

Ikki tarafini \frac{25}{47} va teskari kasri \frac{47}{25} ga ko‘paytiring.

$$x=\frac{183189}{100}\times \frac{25}{47}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{183189}{100} ni \frac{25}{47} ga ko‘paytiring.

$$x=\frac{183189\times 25}{100\times 47}$$

\frac{183189\times 25}{100\times 47} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{4579725}{4700}$$

\frac{4579725}{4700} ulushini 25 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{183189}{188}$$