2(1000/x)=7000/x+200 eching

$$2 ( \frac { 1000 } { x } ) = \frac { 7000 } { x + 200 }$$

x uchun yechish

$$x=80$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -200,0 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x\left(x+200\right) ga, x,x+200 ning eng kichik karralisiga ko‘paytiring.

$$2\left(x+200\right)\times 1000=x\times 7000$$

2000 hosil qilish uchun 2 va 1000 ni ko'paytirish.

$$2000\left(x+200\right)=x\times 7000$$

2000 ga x+200 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2000x+400000=x\times 7000$$

Ikkala tarafdan x\times 7000 ni ayirish.

$$2000x+400000-x\times 7000=0$$

-5000x ni olish uchun 2000x va -x\times 7000 ni birlashtirish.

$$-5000x+400000=0$$

Ikkala tarafdan 400000 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-5000x=-400000$$

Ikki tarafini -5000 ga bo‘ling.

$$x=\frac{-400000}{-5000}$$

80 ni olish uchun -400000 ni -5000 ga bo‘ling.

$$x=80$$