115%x-90%(x-500)=950 eching

$$115 \% x-90 \% (x-500)=950$$

x uchun yechish

$$x=2000$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{115}{100} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{23}{20}x-\frac{90}{100}\left(x-500\right)=950$$

\frac{90}{100} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{23}{20}x-\frac{9}{10}\left(x-500\right)=950$$

-\frac{9}{10} ga x-500 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{23}{20}x-\frac{9}{10}x-\frac{9}{10}\left(-500\right)=950$$

-\frac{9}{10}\left(-500\right) ni yagona kasrga aylantiring.

$$\frac{23}{20}x-\frac{9}{10}x+\frac{-9\left(-500\right)}{10}=950$$

4500 hosil qilish uchun -9 va -500 ni ko'paytirish.

$$\frac{23}{20}x-\frac{9}{10}x+\frac{4500}{10}=950$$

450 ni olish uchun 4500 ni 10 ga bo‘ling.

$$\frac{23}{20}x-\frac{9}{10}x+450=950$$

\frac{1}{4}x ni olish uchun \frac{23}{20}x va -\frac{9}{10}x ni birlashtirish.

$$\frac{1}{4}x+450=950$$

Ikkala tarafdan 450 ni ayirish.

$$\frac{1}{4}x=950-450$$

500 olish uchun 950 dan 450 ni ayirish.

$$\frac{1}{4}x=500$$

Ikki tarafini 4 va teskari kasri \frac{1}{4} ga ko‘paytiring.

$$x=500\times 4$$

2000 hosil qilish uchun 500 va 4 ni ko'paytirish.

$$x=2000$$