18*(09*65x-35)+42*(y/10*100-50)=810 eching

$$18 \cdot ( 09 \times 65 x - 35 ) + 42 \cdot ( \frac { y } { 10 } \cdot 100 - 50 ) = 810$$

y uchun yechish

$$y = \frac{59}{7} = 8\frac{3}{7} = 8,428571428571429$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 10 ga ko'paytirish.

$$180\left(0\times 9\times 65x-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

0 hosil qilish uchun 0 va 9 ni ko'paytirish.

$$180\left(0\times 65x-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

0 hosil qilish uchun 0 va 65 ni ko'paytirish.

$$180\left(0x-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$180\left(0-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

-35 olish uchun 0 dan 35 ni ayirish.

$$180\left(-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

-6300 hosil qilish uchun 180 va -35 ni ko'paytirish.

$$-6300+420\left(\frac{y}{10}\times 100-50\right)=8100$$

100 va 10 ichida eng katta umumiy 10 faktorini bekor qiling.

$$-6300+420\left(10y-50\right)=8100$$

420 ga 10y-50 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-6300+4200y-21000=8100$$

-27300 olish uchun -6300 dan 21000 ni ayirish.

$$-27300+4200y=8100$$

27300 ni ikki tarafga qo’shing.

$$4200y=8100+27300$$

35400 olish uchun 8100 va 27300'ni qo'shing.

$$4200y=35400$$

Ikki tarafini 4200 ga bo‘ling.

$$y=\frac{35400}{4200}$$

\frac{35400}{4200} ulushini 600 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$y=\frac{59}{7}$$

x uchun yechish (complex solution)

$$x\in \mathrm{C}$$

$$y = \frac{59}{7} = 8\frac{3}{7} = 8,428571428571429$$

x uchun yechish

$$x\in \mathrm{R}$$

$$y = \frac{59}{7} = 8\frac{3}{7} = 8,428571428571429$$