65/100*x=85/100(2490-x) eching

$$\frac { 65 } { 100 } \times x = \frac { 85 } { 100 } ( 2490 - x )$$

x uchun yechish

$$x=1411$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$\frac{13}{20}x=\frac{85}{100}\left(2490-x\right)$$

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

$$\frac{13}{20}x=\frac{17}{20}\left(2490-x\right)$$

\frac{17}{20} ga 2490-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{13}{20}x=\frac{17}{20}\times 2490+\frac{17}{20}\left(-1\right)x$$

\frac{17}{20}\times 2490 ni yagona kasrga aylantiring.

$$\frac{13}{20}x=\frac{17\times 2490}{20}+\frac{17}{20}\left(-1\right)x$$

42330 hosil qilish uchun 17 va 2490 ni ko'paytirish.

$$\frac{13}{20}x=\frac{42330}{20}+\frac{17}{20}\left(-1\right)x$$

\frac{42330}{20} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{13}{20}x=\frac{4233}{2}+\frac{17}{20}\left(-1\right)x$$

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

$$\frac{13}{20}x=\frac{4233}{2}-\frac{17}{20}x$$

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

$$\frac{13}{20}x+\frac{17}{20}x=\frac{4233}{2}$$

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

$$\frac{3}{2}x=\frac{4233}{2}$$

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

$$x=\frac{4233}{2}\times \frac{2}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4233}{2} ni \frac{2}{3} ga ko‘paytiring.

$$x=\frac{4233\times 2}{2\times 3}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$x=\frac{4233}{3}$$

1411 ni olish uchun 4233 ni 3 ga bo‘ling.

$$x=1411$$