15*500*(150-x)=2*4200left(x-25right) eching

$$15 \cdot 500 \cdot (150-x) = 2 \cdot 4200 \left( x-25 \right)$$

x uchun yechish

$$x = \frac{4450}{53} = 83\frac{51}{53} \approx 83,962264151$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

7500 hosil qilish uchun 15 va 500 ni ko'paytirish.

$$7500\left(150-x\right)=2\times 4200\left(x-25\right)$$

7500 ga 150-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$1125000-7500x=2\times 4200\left(x-25\right)$$

8400 hosil qilish uchun 2 va 4200 ni ko'paytirish.

$$1125000-7500x=8400\left(x-25\right)$$

8400 ga x-25 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$1125000-7500x=8400x-210000$$

Ikkala tarafdan 8400x ni ayirish.

$$1125000-7500x-8400x=-210000$$

-15900x ni olish uchun -7500x va -8400x ni birlashtirish.

$$1125000-15900x=-210000$$

Ikkala tarafdan 1125000 ni ayirish.

$$-15900x=-210000-1125000$$

-1335000 olish uchun -210000 dan 1125000 ni ayirish.

$$-15900x=-1335000$$

Ikki tarafini -15900 ga bo‘ling.

$$x=\frac{-1335000}{-15900}$$

\frac{-1335000}{-15900} ulushini -300 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{4450}{53}$$