1000*(x-10)+2000*(x-12)/34000=02 eching

$$\frac { 1000 \times ( x - 10 ) + 2000 \times ( x - 12 ) } { 34000 } = 02$$

x uchun yechish

$$x = \frac{34}{3} = 11\frac{1}{3} \approx 11,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 34000 ga ko'paytirish.

$$1000\left(x-10\right)+2000\left(x-12\right)=0\times 2$$

1000 ga x-10 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$1000x-10000+2000\left(x-12\right)=0\times 2$$

2000 ga x-12 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$1000x-10000+2000x-24000=0\times 2$$

3000x ni olish uchun 1000x va 2000x ni birlashtirish.

$$3000x-10000-24000=0\times 2$$

-34000 olish uchun -10000 dan 24000 ni ayirish.

$$3000x-34000=0\times 2$$

0 hosil qilish uchun 0 va 2 ni ko'paytirish.

$$3000x-34000=0$$

34000 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$3000x=34000$$

Ikki tarafini 3000 ga bo‘ling.

$$x=\frac{34000}{3000}$$

\frac{34000}{3000} ulushini 1000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{34}{3}$$