65/100*x=85/100(2480-x) eching

$$\frac { 65 } { 100 } \times x = \frac { 85 } { 100 } ( 2480 - x )$$

x uchun yechish

$$x = \frac{4216}{3} = 1405\frac{1}{3} \approx 1405,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{65}{100} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{13}{20}x=\frac{85}{100}\left(2480-x\right)$$

\frac{85}{100} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{13}{20}x=\frac{17}{20}\left(2480-x\right)$$

\frac{17}{20} ga 2480-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{13}{20}x=\frac{17}{20}\times 2480+\frac{17}{20}\left(-1\right)x$$

\frac{17}{20}\times 2480 ni yagona kasrga aylantiring.

$$\frac{13}{20}x=\frac{17\times 2480}{20}+\frac{17}{20}\left(-1\right)x$$

42160 hosil qilish uchun 17 va 2480 ni ko'paytirish.

$$\frac{13}{20}x=\frac{42160}{20}+\frac{17}{20}\left(-1\right)x$$

2108 ni olish uchun 42160 ni 20 ga bo‘ling.

$$\frac{13}{20}x=2108+\frac{17}{20}\left(-1\right)x$$

-\frac{17}{20} hosil qilish uchun \frac{17}{20} va -1 ni ko'paytirish.

$$\frac{13}{20}x=2108-\frac{17}{20}x$$

\frac{17}{20}x ni ikki tarafga qo’shing.

$$\frac{13}{20}x+\frac{17}{20}x=2108$$

\frac{3}{2}x ni olish uchun \frac{13}{20}x va \frac{17}{20}x ni birlashtirish.

$$\frac{3}{2}x=2108$$

Ikki tarafini \frac{2}{3} va teskari kasri \frac{3}{2} ga ko‘paytiring.

$$x=2108\times \frac{2}{3}$$

2108\times \frac{2}{3} ni yagona kasrga aylantiring.

$$x=\frac{2108\times 2}{3}$$

4216 hosil qilish uchun 2108 va 2 ni ko'paytirish.

$$x=\frac{4216}{3}$$